Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [799,2,Mod(18,799)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(799, base_ring=CyclotomicField(46))
chi = DirichletCharacter(H, H._module([0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("799.18");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 799 = 17 \cdot 47 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 799.k (of order \(23\), degree \(22\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.38004712150\) |
Analytic rank: | \(0\) |
Dimension: | \(704\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{23})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{23}]$ |
Embedding invariants
Embedding label | 494.6 | ||
Character | \(\chi\) | \(=\) | 799.494 |
Dual form | 799.2.k.b.613.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/799\mathbb{Z}\right)^\times\).
\(n\) | \(52\) | \(377\) |
\(\chi(n)\) | \(e\left(\frac{14}{23}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.91776 | + | 0.263590i | −1.35606 | + | 0.186386i | −0.777310 | − | 0.629117i | \(-0.783416\pi\) |
−0.578752 | + | 0.815504i | \(0.696460\pi\) | |||||||
\(3\) | −1.41094 | − | 0.858009i | −0.814604 | − | 0.495372i | 0.0494466 | − | 0.998777i | \(-0.484254\pi\) |
−0.864051 | + | 0.503405i | \(0.832080\pi\) | |||||||
\(4\) | 1.68249 | − | 0.471413i | 0.841247 | − | 0.235706i | ||||
\(5\) | −0.565102 | + | 1.59004i | −0.252721 | + | 0.711089i | 0.746247 | + | 0.665669i | \(0.231854\pi\) |
−0.998968 | + | 0.0454198i | \(0.985537\pi\) | |||||||
\(6\) | 2.93200 | + | 1.27355i | 1.19698 | + | 0.519924i | ||||
\(7\) | 0.0740666 | + | 1.08282i | 0.0279946 | + | 0.409266i | 0.990454 | + | 0.137841i | \(0.0440164\pi\) |
−0.962460 | + | 0.271424i | \(0.912505\pi\) | |||||||
\(8\) | 0.448697 | − | 0.194897i | 0.158638 | − | 0.0689064i | ||||
\(9\) | −0.125636 | − | 0.242466i | −0.0418785 | − | 0.0808218i | ||||
\(10\) | 0.664610 | − | 3.19828i | 0.210168 | − | 1.01138i | ||||
\(11\) | 0.437701 | + | 0.468663i | 0.131972 | + | 0.141307i | 0.793399 | − | 0.608702i | \(-0.208310\pi\) |
−0.661427 | + | 0.750010i | \(0.730049\pi\) | |||||||
\(12\) | −2.77837 | − | 0.778462i | −0.802045 | − | 0.224723i | ||||
\(13\) | 1.29682 | − | 1.83718i | 0.359674 | − | 0.509542i | −0.596392 | − | 0.802693i | \(-0.703400\pi\) |
0.956066 | + | 0.293151i | \(0.0947040\pi\) | |||||||
\(14\) | −0.427462 | − | 2.05706i | −0.114244 | − | 0.549772i | ||||
\(15\) | 2.16159 | − | 1.75859i | 0.558121 | − | 0.454065i | ||||
\(16\) | −3.79496 | + | 2.30776i | −0.948739 | + | 0.576941i | ||||
\(17\) | −0.682553 | + | 0.730836i | −0.165543 | + | 0.177254i | ||||
\(18\) | 0.304850 | + | 0.431875i | 0.0718539 | + | 0.101794i | ||||
\(19\) | −1.55314 | − | 4.37012i | −0.356315 | − | 1.00258i | −0.976009 | − | 0.217731i | \(-0.930134\pi\) |
0.619693 | − | 0.784844i | \(-0.287257\pi\) | |||||||
\(20\) | −0.201213 | + | 2.94164i | −0.0449927 | + | 0.657770i | ||||
\(21\) | 0.824562 | − | 1.59133i | 0.179934 | − | 0.347257i | ||||
\(22\) | −0.962941 | − | 0.783410i | −0.205300 | − | 0.167024i | ||||
\(23\) | −4.83174 | − | 0.664108i | −1.00749 | − | 0.138476i | −0.386494 | − | 0.922292i | \(-0.626314\pi\) |
−0.620993 | + | 0.783816i | \(0.713271\pi\) | |||||||
\(24\) | −0.800306 | − | 0.110000i | −0.163362 | − | 0.0224536i | ||||
\(25\) | 1.66966 | + | 1.35837i | 0.333931 | + | 0.271673i | ||||
\(26\) | −2.00273 | + | 3.86510i | −0.392768 | + | 0.758009i | ||||
\(27\) | −0.368848 | + | 5.39237i | −0.0709848 | + | 1.03776i | ||||
\(28\) | 0.635070 | + | 1.78691i | 0.120017 | + | 0.337695i | ||||
\(29\) | 1.32024 | + | 1.87035i | 0.245162 | + | 0.347315i | 0.920881 | − | 0.389844i | \(-0.127471\pi\) |
−0.675719 | + | 0.737159i | \(0.736167\pi\) | |||||||
\(30\) | −3.68187 | + | 3.94232i | −0.672215 | + | 0.719767i | ||||
\(31\) | −3.57195 | + | 2.17215i | −0.641542 | + | 0.390130i | −0.802349 | − | 0.596856i | \(-0.796417\pi\) |
0.160807 | + | 0.986986i | \(0.448590\pi\) | |||||||
\(32\) | 5.91056 | − | 4.80860i | 1.04485 | − | 0.850048i | ||||
\(33\) | −0.215451 | − | 1.03680i | −0.0375051 | − | 0.180485i | ||||
\(34\) | 1.11633 | − | 1.58148i | 0.191449 | − | 0.271222i | ||||
\(35\) | −1.76358 | − | 0.494132i | −0.298099 | − | 0.0835235i | ||||
\(36\) | −0.325682 | − | 0.348721i | −0.0542804 | − | 0.0581201i | ||||
\(37\) | 1.32867 | − | 6.39393i | 0.218433 | − | 1.05116i | −0.716843 | − | 0.697235i | \(-0.754413\pi\) |
0.935275 | − | 0.353921i | \(-0.115152\pi\) | |||||||
\(38\) | 4.13048 | + | 7.97146i | 0.670052 | + | 1.29314i | ||||
\(39\) | −3.40605 | + | 1.47946i | −0.545404 | + | 0.236902i | ||||
\(40\) | 0.0563348 | + | 0.823585i | 0.00890731 | + | 0.130220i | ||||
\(41\) | −7.65973 | − | 3.32709i | −1.19625 | − | 0.519604i | −0.296088 | − | 0.955161i | \(-0.595682\pi\) |
−0.900161 | + | 0.435556i | \(0.856552\pi\) | |||||||
\(42\) | −1.16185 | + | 3.26914i | −0.179278 | + | 0.504440i | ||||
\(43\) | 7.58127 | − | 2.12417i | 1.15613 | − | 0.323933i | 0.362295 | − | 0.932063i | \(-0.381993\pi\) |
0.793837 | + | 0.608130i | \(0.208080\pi\) | |||||||
\(44\) | 0.957363 | + | 0.582185i | 0.144328 | + | 0.0877677i | ||||
\(45\) | 0.456528 | − | 0.0627483i | 0.0680551 | − | 0.00935396i | ||||
\(46\) | 9.44118 | 1.39203 | ||||||||
\(47\) | −2.60111 | + | 6.34305i | −0.379411 | + | 0.925228i | ||||
\(48\) | 7.33452 | 1.05865 | ||||||||
\(49\) | 5.76780 | − | 0.792766i | 0.823971 | − | 0.113252i | ||||
\(50\) | −3.56006 | − | 2.16492i | −0.503468 | − | 0.306166i | ||||
\(51\) | 1.59010 | − | 0.445526i | 0.222659 | − | 0.0623861i | ||||
\(52\) | 1.31583 | − | 3.70238i | 0.182472 | − | 0.513428i | ||||
\(53\) | 11.1798 | + | 4.85608i | 1.53567 | + | 0.667034i | 0.985755 | − | 0.168188i | \(-0.0537915\pi\) |
0.549912 | + | 0.835222i | \(0.314661\pi\) | |||||||
\(54\) | −0.714013 | − | 10.4385i | −0.0971648 | − | 1.42050i | ||||
\(55\) | −0.992541 | + | 0.431121i | −0.133834 | + | 0.0581324i | ||||
\(56\) | 0.244271 | + | 0.471421i | 0.0326421 | + | 0.0629963i | ||||
\(57\) | −1.55822 | + | 7.49857i | −0.206391 | + | 0.993210i | ||||
\(58\) | −3.02490 | − | 3.23888i | −0.397189 | − | 0.425286i | ||||
\(59\) | 6.03175 | + | 1.69002i | 0.785267 | + | 0.220021i | 0.638983 | − | 0.769221i | \(-0.279356\pi\) |
0.146284 | + | 0.989243i | \(0.453269\pi\) | |||||||
\(60\) | 2.80785 | − | 3.97781i | 0.362492 | − | 0.513534i | ||||
\(61\) | −1.44727 | − | 6.96465i | −0.185304 | − | 0.891732i | −0.964322 | − | 0.264731i | \(-0.914717\pi\) |
0.779018 | − | 0.627001i | \(-0.215718\pi\) | |||||||
\(62\) | 6.27760 | − | 5.10720i | 0.797256 | − | 0.648616i | ||||
\(63\) | 0.253240 | − | 0.153999i | 0.0319052 | − | 0.0194020i | ||||
\(64\) | −4.00435 | + | 4.28761i | −0.500543 | + | 0.535951i | ||||
\(65\) | 2.18836 | + | 3.10020i | 0.271432 | + | 0.384532i | ||||
\(66\) | 0.686474 | + | 1.93155i | 0.0844991 | + | 0.237758i | ||||
\(67\) | −0.425528 | + | 6.22100i | −0.0519865 | + | 0.760016i | 0.896469 | + | 0.443106i | \(0.146124\pi\) |
−0.948456 | + | 0.316910i | \(0.897355\pi\) | |||||||
\(68\) | −0.803866 | + | 1.55139i | −0.0974831 | + | 0.188134i | ||||
\(69\) | 6.24747 | + | 5.08269i | 0.752107 | + | 0.611884i | ||||
\(70\) | 3.51237 | + | 0.482765i | 0.419809 | + | 0.0577014i | ||||
\(71\) | 11.4647 | + | 1.57578i | 1.36061 | + | 0.187011i | 0.779289 | − | 0.626665i | \(-0.215580\pi\) |
0.581319 | + | 0.813676i | \(0.302537\pi\) | |||||||
\(72\) | −0.103628 | − | 0.0843077i | −0.0122127 | − | 0.00993576i | ||||
\(73\) | 1.06002 | − | 2.04575i | 0.124066 | − | 0.239437i | −0.817744 | − | 0.575582i | \(-0.804776\pi\) |
0.941810 | + | 0.336145i | \(0.109123\pi\) | |||||||
\(74\) | −0.862702 | + | 12.6123i | −0.100287 | + | 1.46614i | ||||
\(75\) | −1.19029 | − | 3.34915i | −0.137443 | − | 0.386726i | ||||
\(76\) | −4.67329 | − | 6.62054i | −0.536063 | − | 0.759428i | ||||
\(77\) | −0.475057 | + | 0.508662i | −0.0541378 | + | 0.0579674i | ||||
\(78\) | 6.14202 | − | 3.73504i | 0.695447 | − | 0.422910i | ||||
\(79\) | 7.69839 | − | 6.26311i | 0.866137 | − | 0.704654i | −0.0905131 | − | 0.995895i | \(-0.528851\pi\) |
0.956650 | + | 0.291241i | \(0.0940681\pi\) | |||||||
\(80\) | −1.52491 | − | 7.33827i | −0.170490 | − | 0.820443i | ||||
\(81\) | 4.67467 | − | 6.62251i | 0.519408 | − | 0.735834i | ||||
\(82\) | 15.5665 | + | 4.36154i | 1.71904 | + | 0.481651i | ||||
\(83\) | 11.4186 | + | 12.2263i | 1.25335 | + | 1.34201i | 0.916283 | + | 0.400532i | \(0.131175\pi\) |
0.337069 | + | 0.941480i | \(0.390565\pi\) | |||||||
\(84\) | 0.637146 | − | 3.06612i | 0.0695184 | − | 0.334541i | ||||
\(85\) | −0.776349 | − | 1.49829i | −0.0842069 | − | 0.162512i | ||||
\(86\) | −13.9792 | + | 6.07200i | −1.50741 | + | 0.654761i | ||||
\(87\) | −0.257992 | − | 3.77172i | −0.0276597 | − | 0.404370i | ||||
\(88\) | 0.287736 | + | 0.124981i | 0.0306728 | + | 0.0133231i | ||||
\(89\) | 2.59071 | − | 7.28956i | 0.274615 | − | 0.772692i | −0.722107 | − | 0.691782i | \(-0.756826\pi\) |
0.996721 | − | 0.0809102i | \(-0.0257827\pi\) | |||||||
\(90\) | −0.858971 | + | 0.240672i | −0.0905435 | + | 0.0253691i | ||||
\(91\) | 2.08538 | + | 1.26815i | 0.218607 | + | 0.132938i | ||||
\(92\) | −8.44245 | + | 1.16039i | −0.880186 | + | 0.120979i | ||||
\(93\) | 6.90352 | 0.715862 | ||||||||
\(94\) | 3.31634 | − | 12.8501i | 0.342055 | − | 1.32538i | ||||
\(95\) | 7.82637 | 0.802969 | ||||||||
\(96\) | −12.4652 | + | 1.71331i | −1.27223 | + | 0.174864i | ||||
\(97\) | 2.28090 | + | 1.38704i | 0.231590 | + | 0.140833i | 0.630585 | − | 0.776120i | \(-0.282815\pi\) |
−0.398995 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(98\) | −10.8523 | + | 3.04067i | −1.09625 | + | 0.307154i | ||||
\(99\) | 0.0586439 | − | 0.165008i | 0.00589393 | − | 0.0165839i | ||||
\(100\) | 3.44954 | + | 1.49835i | 0.344954 | + | 0.149835i | ||||
\(101\) | 1.12593 | + | 16.4605i | 0.112034 | + | 1.63788i | 0.625823 | + | 0.779965i | \(0.284763\pi\) |
−0.513789 | + | 0.857917i | \(0.671758\pi\) | |||||||
\(102\) | −2.93200 | + | 1.27355i | −0.290311 | + | 0.126100i | ||||
\(103\) | 2.38112 | + | 4.59535i | 0.234619 | + | 0.452794i | 0.975846 | − | 0.218461i | \(-0.0701036\pi\) |
−0.741227 | + | 0.671255i | \(0.765756\pi\) | |||||||
\(104\) | 0.223821 | − | 1.07708i | 0.0219474 | − | 0.105617i | ||||
\(105\) | 2.06433 | + | 2.21035i | 0.201458 | + | 0.215709i | ||||
\(106\) | −22.7203 | − | 6.36592i | −2.20679 | − | 0.618313i | ||||
\(107\) | −11.1382 | + | 15.7792i | −1.07677 | + | 1.52543i | −0.245628 | + | 0.969364i | \(0.578994\pi\) |
−0.831138 | + | 0.556066i | \(0.812310\pi\) | |||||||
\(108\) | 1.92145 | + | 9.24650i | 0.184891 | + | 0.889745i | ||||
\(109\) | 2.16822 | − | 1.76398i | 0.207678 | − | 0.168959i | −0.521569 | − | 0.853209i | \(-0.674653\pi\) |
0.729247 | + | 0.684250i | \(0.239871\pi\) | |||||||
\(110\) | 1.78982 | − | 1.08841i | 0.170652 | − | 0.103776i | ||||
\(111\) | −7.36072 | + | 7.88141i | −0.698649 | + | 0.748070i | ||||
\(112\) | −2.77996 | − | 3.93831i | −0.262682 | − | 0.372135i | ||||
\(113\) | 4.51568 | + | 12.7059i | 0.424799 | + | 1.19527i | 0.940883 | + | 0.338732i | \(0.109998\pi\) |
−0.516084 | + | 0.856538i | \(0.672611\pi\) | |||||||
\(114\) | 1.01175 | − | 14.7912i | 0.0947587 | − | 1.38532i | ||||
\(115\) | 3.78639 | − | 7.30739i | 0.353082 | − | 0.681418i | ||||
\(116\) | 3.10300 | + | 2.52447i | 0.288106 | + | 0.234392i | ||||
\(117\) | −0.608379 | − | 0.0836198i | −0.0562447 | − | 0.00773066i | ||||
\(118\) | −12.0129 | − | 1.65114i | −1.10588 | − | 0.152000i | ||||
\(119\) | −0.841915 | − | 0.684949i | −0.0771782 | − | 0.0627891i | ||||
\(120\) | 0.627158 | − | 1.21036i | 0.0572515 | − | 0.110490i | ||||
\(121\) | 0.722603 | − | 10.5641i | 0.0656912 | − | 0.960372i | ||||
\(122\) | 4.61133 | + | 12.9750i | 0.417490 | + | 1.17471i | ||||
\(123\) | 7.95271 | + | 11.2664i | 0.717072 | + | 1.01586i | ||||
\(124\) | −4.98581 | + | 5.33850i | −0.447739 | + | 0.479411i | ||||
\(125\) | −10.3125 | + | 6.27114i | −0.922374 | + | 0.560908i | ||||
\(126\) | −0.445061 | + | 0.362084i | −0.0396492 | + | 0.0322570i | ||||
\(127\) | 2.30580 | + | 11.0961i | 0.204607 | + | 0.984622i | 0.948610 | + | 0.316446i | \(0.102490\pi\) |
−0.744004 | + | 0.668176i | \(0.767076\pi\) | |||||||
\(128\) | −2.23887 | + | 3.17175i | −0.197890 | + | 0.280346i | ||||
\(129\) | −12.5192 | − | 3.50773i | −1.10226 | − | 0.308838i | ||||
\(130\) | −5.01393 | − | 5.36861i | −0.439751 | − | 0.470858i | ||||
\(131\) | 1.02788 | − | 4.94645i | 0.0898067 | − | 0.432173i | −0.910038 | − | 0.414526i | \(-0.863947\pi\) |
0.999844 | − | 0.0176477i | \(-0.00561774\pi\) | |||||||
\(132\) | −0.851257 | − | 1.64285i | −0.0740924 | − | 0.142992i | ||||
\(133\) | 4.61700 | − | 2.00545i | 0.400345 | − | 0.173894i | ||||
\(134\) | −0.823734 | − | 12.0426i | −0.0711597 | − | 1.04032i | ||||
\(135\) | −8.36566 | − | 3.63372i | −0.720001 | − | 0.312741i | ||||
\(136\) | −0.163822 | + | 0.460952i | −0.0140476 | + | 0.0395263i | ||||
\(137\) | 19.5245 | − | 5.47052i | 1.66809 | − | 0.467378i | 0.699215 | − | 0.714911i | \(-0.253533\pi\) |
0.968879 | + | 0.247533i | \(0.0796198\pi\) | |||||||
\(138\) | −13.3209 | − | 8.10062i | −1.13395 | − | 0.689570i | ||||
\(139\) | −2.43661 | + | 0.334905i | −0.206671 | + | 0.0284062i | −0.238759 | − | 0.971079i | \(-0.576741\pi\) |
0.0320885 | + | 0.999485i | \(0.489784\pi\) | |||||||
\(140\) | −3.20015 | −0.270462 | ||||||||
\(141\) | 9.11239 | − | 6.71785i | 0.767401 | − | 0.565745i | ||||
\(142\) | −22.4019 | −1.87992 | ||||||||
\(143\) | 1.42864 | − | 0.196362i | 0.119469 | − | 0.0164206i | ||||
\(144\) | 1.03633 | + | 0.630209i | 0.0863612 | + | 0.0525174i | ||||
\(145\) | −3.72000 | + | 1.04230i | −0.308930 | + | 0.0865580i | ||||
\(146\) | −1.49363 | + | 4.20267i | −0.123613 | + | 0.347815i | ||||
\(147\) | −8.81819 | − | 3.83028i | −0.727312 | − | 0.315916i | ||||
\(148\) | −0.778694 | − | 11.3841i | −0.0640082 | − | 0.935767i | ||||
\(149\) | −11.2598 | + | 4.89080i | −0.922435 | + | 0.400670i | −0.805586 | − | 0.592479i | \(-0.798149\pi\) |
−0.116850 | + | 0.993150i | \(0.537280\pi\) | |||||||
\(150\) | 3.16549 | + | 6.10912i | 0.258461 | + | 0.498808i | ||||
\(151\) | 1.62491 | − | 7.81951i | 0.132234 | − | 0.636343i | −0.859827 | − | 0.510585i | \(-0.829429\pi\) |
0.992061 | − | 0.125758i | \(-0.0401363\pi\) | |||||||
\(152\) | −1.54861 | − | 1.65816i | −0.125609 | − | 0.134495i | ||||
\(153\) | 0.262955 | + | 0.0736767i | 0.0212587 | + | 0.00595640i | ||||
\(154\) | 0.776967 | − | 1.10071i | 0.0626098 | − | 0.0886979i | ||||
\(155\) | −1.43530 | − | 6.90705i | −0.115286 | − | 0.554788i | ||||
\(156\) | −5.03322 | + | 4.09483i | −0.402980 | + | 0.327849i | ||||
\(157\) | 14.0923 | − | 8.56973i | 1.12469 | − | 0.683939i | 0.171161 | − | 0.985243i | \(-0.445248\pi\) |
0.953528 | + | 0.301304i | \(0.0974221\pi\) | |||||||
\(158\) | −13.1128 | + | 14.0404i | −1.04320 | + | 1.11699i | ||||
\(159\) | −11.6075 | − | 16.4440i | −0.920531 | − | 1.30409i | ||||
\(160\) | 4.30581 | + | 12.1154i | 0.340405 | + | 0.957807i | ||||
\(161\) | 0.361235 | − | 5.28107i | 0.0284693 | − | 0.416207i | ||||
\(162\) | −7.21928 | + | 13.9326i | −0.567200 | + | 1.09465i | ||||
\(163\) | 6.12647 | + | 4.98425i | 0.479862 | + | 0.390397i | 0.840072 | − | 0.542475i | \(-0.182512\pi\) |
−0.360210 | + | 0.932871i | \(0.617295\pi\) | |||||||
\(164\) | −14.4559 | − | 1.98692i | −1.12882 | − | 0.155152i | ||||
\(165\) | 1.77032 | + | 0.243324i | 0.137819 | + | 0.0189428i | ||||
\(166\) | −25.1208 | − | 20.4373i | −1.94976 | − | 1.58624i | ||||
\(167\) | 8.14701 | − | 15.7230i | 0.630435 | − | 1.21668i | −0.331513 | − | 0.943451i | \(-0.607559\pi\) |
0.961948 | − | 0.273233i | \(-0.0880931\pi\) | |||||||
\(168\) | 0.0598333 | − | 0.874731i | 0.00461624 | − | 0.0674870i | ||||
\(169\) | 2.65996 | + | 7.48440i | 0.204612 | + | 0.575723i | ||||
\(170\) | 1.88379 | + | 2.66872i | 0.144480 | + | 0.204681i | ||||
\(171\) | −0.864475 | + | 0.925626i | −0.0661080 | + | 0.0707844i | ||||
\(172\) | 11.7541 | − | 7.14781i | 0.896240 | − | 0.545016i | ||||
\(173\) | 10.3220 | − | 8.39757i | 0.784767 | − | 0.638456i | −0.152011 | − | 0.988379i | \(-0.548575\pi\) |
0.936778 | + | 0.349923i | \(0.113792\pi\) | |||||||
\(174\) | 1.48896 | + | 7.16525i | 0.112877 | + | 0.543196i | ||||
\(175\) | −1.34720 | + | 1.90854i | −0.101838 | + | 0.144272i | ||||
\(176\) | −2.74262 | − | 0.768446i | −0.206733 | − | 0.0579238i | ||||
\(177\) | −7.06036 | − | 7.55980i | −0.530689 | − | 0.568229i | ||||
\(178\) | −3.04691 | + | 14.6625i | −0.228375 | + | 1.09900i | ||||
\(179\) | −3.74015 | − | 7.21817i | −0.279552 | − | 0.539511i | 0.706139 | − | 0.708073i | \(-0.250435\pi\) |
−0.985691 | + | 0.168562i | \(0.946088\pi\) | |||||||
\(180\) | 0.738525 | − | 0.320787i | 0.0550464 | − | 0.0239100i | ||||
\(181\) | 0.550971 | + | 8.05490i | 0.0409533 | + | 0.598716i | 0.972174 | + | 0.234260i | \(0.0752668\pi\) |
−0.931221 | + | 0.364456i | \(0.881255\pi\) | |||||||
\(182\) | −4.33353 | − | 1.88232i | −0.321222 | − | 0.139527i | ||||
\(183\) | −3.93372 | + | 11.0684i | −0.290789 | + | 0.818202i | ||||
\(184\) | −2.29742 | + | 0.643708i | −0.169368 | + | 0.0474548i | ||||
\(185\) | 9.41579 | + | 5.72587i | 0.692263 | + | 0.420974i | ||||
\(186\) | −13.2393 | + | 1.81970i | −0.970753 | + | 0.133427i | ||||
\(187\) | −0.641270 | −0.0468943 | ||||||||
\(188\) | −1.38616 | + | 11.8983i | −0.101096 | + | 0.867775i | ||||
\(189\) | −5.86626 | −0.426707 | ||||||||
\(190\) | −15.0091 | + | 2.06296i | −1.08888 | + | 0.149663i | ||||
\(191\) | −11.1199 | − | 6.76215i | −0.804606 | − | 0.489292i | 0.0560810 | − | 0.998426i | \(-0.482139\pi\) |
−0.860687 | + | 0.509134i | \(0.829966\pi\) | |||||||
\(192\) | 9.32868 | − | 2.61377i | 0.673240 | − | 0.188633i | ||||
\(193\) | −2.22634 | + | 6.26433i | −0.160256 | + | 0.450917i | −0.995018 | − | 0.0996938i | \(-0.968214\pi\) |
0.834762 | + | 0.550610i | \(0.185605\pi\) | |||||||
\(194\) | −4.73983 | − | 2.05880i | −0.340300 | − | 0.147813i | ||||
\(195\) | −0.427635 | − | 6.25181i | −0.0306236 | − | 0.447701i | ||||
\(196\) | 9.33057 | − | 4.05284i | 0.666469 | − | 0.289488i | ||||
\(197\) | −4.09773 | − | 7.90826i | −0.291951 | − | 0.563440i | 0.696030 | − | 0.718012i | \(-0.254948\pi\) |
−0.987981 | + | 0.154572i | \(0.950600\pi\) | |||||||
\(198\) | −0.0689705 | + | 0.331904i | −0.00490152 | + | 0.0235874i | ||||
\(199\) | −10.2172 | − | 10.9400i | −0.724280 | − | 0.775514i | 0.257349 | − | 0.966319i | \(-0.417151\pi\) |
−0.981628 | + | 0.190805i | \(0.938890\pi\) | |||||||
\(200\) | 1.01391 | + | 0.284085i | 0.0716944 | + | 0.0200878i | ||||
\(201\) | 5.93807 | − | 8.41232i | 0.418839 | − | 0.593360i | ||||
\(202\) | −6.49809 | − | 31.2705i | −0.457204 | − | 2.20019i | ||||
\(203\) | −1.92746 | + | 1.56810i | −0.135281 | + | 0.110059i | ||||
\(204\) | 2.46531 | − | 1.49919i | 0.172606 | − | 0.104964i | ||||
\(205\) | 9.61875 | − | 10.2992i | 0.671803 | − | 0.719325i | ||||
\(206\) | −5.77771 | − | 8.18515i | −0.402552 | − | 0.570287i | ||||
\(207\) | 0.446015 | + | 1.25497i | 0.0310002 | + | 0.0872262i | ||||
\(208\) | −0.681609 | + | 9.96477i | −0.0472611 | + | 0.690933i | ||||
\(209\) | 1.36830 | − | 2.64071i | 0.0946476 | − | 0.182662i | ||||
\(210\) | −4.54151 | − | 3.69480i | −0.313394 | − | 0.254965i | ||||
\(211\) | −12.3248 | − | 1.69401i | −0.848476 | − | 0.116620i | −0.301188 | − | 0.953565i | \(-0.597383\pi\) |
−0.547288 | + | 0.836944i | \(0.684340\pi\) | |||||||
\(212\) | 21.0992 | + | 2.90002i | 1.44910 | + | 0.199174i | ||||
\(213\) | −14.8239 | − | 12.0601i | −1.01572 | − | 0.826346i | ||||
\(214\) | 17.2011 | − | 33.1966i | 1.17584 | − | 2.26927i | ||||
\(215\) | −0.906661 | + | 13.2549i | −0.0618338 | + | 0.903978i | ||||
\(216\) | 0.885453 | + | 2.49143i | 0.0602475 | + | 0.169520i | ||||
\(217\) | −2.61660 | − | 3.70688i | −0.177627 | − | 0.251640i | ||||
\(218\) | −3.69316 | + | 3.95441i | −0.250133 | + | 0.267827i | ||||
\(219\) | −3.25089 | + | 1.97691i | −0.219675 | + | 0.133587i | ||||
\(220\) | −1.46671 | + | 1.19326i | −0.0988854 | + | 0.0804492i | ||||
\(221\) | 0.457526 | + | 2.20174i | 0.0307765 | + | 0.148105i | ||||
\(222\) | 12.0386 | − | 17.0549i | 0.807981 | − | 1.14465i | ||||
\(223\) | 15.5031 | + | 4.34377i | 1.03817 | + | 0.290880i | 0.746321 | − | 0.665586i | \(-0.231818\pi\) |
0.291844 | + | 0.956466i | \(0.405731\pi\) | |||||||
\(224\) | 5.64460 | + | 6.04389i | 0.377146 | + | 0.403825i | ||||
\(225\) | 0.119589 | − | 0.575493i | 0.00797259 | − | 0.0383662i | ||||
\(226\) | −12.0091 | − | 23.1766i | −0.798836 | − | 1.54168i | ||||
\(227\) | −18.9295 | + | 8.22222i | −1.25639 | + | 0.545728i | −0.918487 | − | 0.395452i | \(-0.870588\pi\) |
−0.337905 | + | 0.941180i | \(0.609718\pi\) | |||||||
\(228\) | 0.913225 | + | 13.3509i | 0.0604798 | + | 0.884183i | ||||
\(229\) | 4.44253 | + | 1.92966i | 0.293571 | + | 0.127516i | 0.540052 | − | 0.841632i | \(-0.318405\pi\) |
−0.246481 | + | 0.969148i | \(0.579274\pi\) | |||||||
\(230\) | −5.33523 | + | 15.0119i | −0.351794 | + | 0.989855i | ||||
\(231\) | 1.10671 | − | 0.310086i | 0.0728162 | − | 0.0204021i | ||||
\(232\) | 0.956912 | + | 0.581911i | 0.0628243 | + | 0.0382043i | ||||
\(233\) | 5.32485 | − | 0.731884i | 0.348843 | − | 0.0479473i | 0.0403818 | − | 0.999184i | \(-0.487143\pi\) |
0.308461 | + | 0.951237i | \(0.400186\pi\) | |||||||
\(234\) | 1.18877 | 0.0777122 | ||||||||
\(235\) | −8.61583 | − | 7.72034i | −0.562035 | − | 0.503620i | ||||
\(236\) | 10.9451 | 0.712464 | ||||||||
\(237\) | −16.2357 | + | 2.23155i | −1.05462 | + | 0.144955i | ||||
\(238\) | 1.79514 | + | 1.09165i | 0.116362 | + | 0.0707610i | ||||
\(239\) | 6.11706 | − | 1.71392i | 0.395680 | − | 0.110864i | −0.0662009 | − | 0.997806i | \(-0.521088\pi\) |
0.461881 | + | 0.886942i | \(0.347175\pi\) | |||||||
\(240\) | −4.14475 | + | 11.6622i | −0.267542 | + | 0.752792i | ||||
\(241\) | 22.1164 | + | 9.60653i | 1.42465 | + | 0.618811i | 0.963304 | − | 0.268412i | \(-0.0864989\pi\) |
0.461341 | + | 0.887223i | \(0.347368\pi\) | |||||||
\(242\) | 1.39881 | + | 20.4499i | 0.0899189 | + | 1.31457i | ||||
\(243\) | 2.59465 | − | 1.12702i | 0.166447 | − | 0.0722982i | ||||
\(244\) | −5.71825 | − | 11.0357i | −0.366073 | − | 0.706489i | ||||
\(245\) | −1.99886 | + | 9.61904i | −0.127703 | + | 0.614538i | ||||
\(246\) | −18.2211 | − | 19.5101i | −1.16174 | − | 1.24392i | ||||
\(247\) | −10.0429 | − | 2.81387i | −0.639011 | − | 0.179043i | ||||
\(248\) | −1.17938 | + | 1.67080i | −0.0748908 | + | 0.106096i | ||||
\(249\) | −5.62059 | − | 27.0478i | −0.356191 | − | 1.71408i | ||||
\(250\) | 18.1238 | − | 14.7448i | 1.14625 | − | 0.932544i | ||||
\(251\) | −22.7860 | + | 13.8565i | −1.43824 | + | 0.874613i | −0.999709 | − | 0.0241041i | \(-0.992327\pi\) |
−0.438530 | + | 0.898717i | \(0.644501\pi\) | |||||||
\(252\) | 0.353478 | − | 0.378482i | 0.0222670 | − | 0.0238422i | ||||
\(253\) | −1.80361 | − | 2.55514i | −0.113392 | − | 0.160640i | ||||
\(254\) | −7.34681 | − | 20.6719i | −0.460980 | − | 1.29707i | ||||
\(255\) | −0.190164 | + | 2.78010i | −0.0119085 | + | 0.174097i | ||||
\(256\) | 8.85571 | − | 17.0908i | 0.553482 | − | 1.06817i | ||||
\(257\) | 13.2408 | + | 10.7722i | 0.825940 | + | 0.671952i | 0.947191 | − | 0.320670i | \(-0.103908\pi\) |
−0.121251 | + | 0.992622i | \(0.538691\pi\) | |||||||
\(258\) | 24.9335 | + | 3.42703i | 1.55229 | + | 0.213358i | ||||
\(259\) | 7.02186 | + | 0.965132i | 0.436317 | + | 0.0599704i | ||||
\(260\) | 5.14337 | + | 4.18444i | 0.318978 | + | 0.259508i | ||||
\(261\) | 0.287627 | − | 0.555094i | 0.0178036 | − | 0.0343595i | ||||
\(262\) | −0.667401 | + | 9.75705i | −0.0412322 | + | 0.602793i | ||||
\(263\) | 0.201209 | + | 0.566147i | 0.0124071 | + | 0.0349101i | 0.948303 | − | 0.317367i | \(-0.102799\pi\) |
−0.935896 | + | 0.352277i | \(0.885407\pi\) | |||||||
\(264\) | −0.298742 | − | 0.423221i | −0.0183863 | − | 0.0260474i | ||||
\(265\) | −14.0391 | + | 15.0322i | −0.862417 | + | 0.923423i | ||||
\(266\) | −8.32569 | + | 5.06297i | −0.510481 | + | 0.310430i | ||||
\(267\) | −9.90983 | + | 8.06225i | −0.606472 | + | 0.493402i | ||||
\(268\) | 2.21671 | + | 10.6674i | 0.135407 | + | 0.651615i | ||||
\(269\) | −1.17702 | + | 1.66746i | −0.0717644 | + | 0.101667i | −0.851269 | − | 0.524729i | \(-0.824167\pi\) |
0.779505 | + | 0.626396i | \(0.215471\pi\) | |||||||
\(270\) | 17.0012 | + | 4.76350i | 1.03466 | + | 0.289897i | ||||
\(271\) | 11.1362 | + | 11.9239i | 0.676473 | + | 0.724326i | 0.973027 | − | 0.230690i | \(-0.0740983\pi\) |
−0.296554 | + | 0.955016i | \(0.595837\pi\) | |||||||
\(272\) | 0.903662 | − | 4.34866i | 0.0547926 | − | 0.263676i | ||||
\(273\) | −1.85425 | − | 3.57854i | −0.112224 | − | 0.216583i | ||||
\(274\) | −36.0014 | + | 15.6376i | −2.17493 | + | 0.944704i | ||||
\(275\) | 0.0941938 | + | 1.37707i | 0.00568010 | + | 0.0830402i | ||||
\(276\) | 12.9074 | + | 5.60646i | 0.776932 | + | 0.337469i | ||||
\(277\) | 1.87679 | − | 5.28078i | 0.112765 | − | 0.317291i | −0.872427 | − | 0.488745i | \(-0.837455\pi\) |
0.985192 | + | 0.171453i | \(0.0548463\pi\) | |||||||
\(278\) | 4.58456 | − | 1.28453i | 0.274964 | − | 0.0770412i | ||||
\(279\) | 0.975437 | + | 0.593176i | 0.0583979 | + | 0.0355125i | ||||
\(280\) | −0.887618 | + | 0.122000i | −0.0530453 | + | 0.00729091i | ||||
\(281\) | 31.2069 | 1.86165 | 0.930824 | − | 0.365467i | \(-0.119091\pi\) | ||||
0.930824 | + | 0.365467i | \(0.119091\pi\) | |||||||
\(282\) | −15.7046 | + | 15.2852i | −0.935197 | + | 0.910219i | ||||
\(283\) | −28.4059 | −1.68856 | −0.844279 | − | 0.535904i | \(-0.819971\pi\) | ||||
−0.844279 | + | 0.535904i | \(0.819971\pi\) | |||||||
\(284\) | 20.0321 | − | 2.75335i | 1.18869 | − | 0.163381i | ||||
\(285\) | −11.0425 | − | 6.71510i | −0.654102 | − | 0.397768i | ||||
\(286\) | −2.68803 | + | 0.753150i | −0.158946 | + | 0.0445347i | ||||
\(287\) | 3.03530 | − | 8.54050i | 0.179168 | − | 0.504130i | ||||
\(288\) | −1.90850 | − | 0.828977i | −0.112459 | − | 0.0488479i | ||||
\(289\) | −0.0682424 | − | 0.997669i | −0.00401426 | − | 0.0586864i | ||||
\(290\) | 6.85934 | − | 2.97943i | 0.402794 | − | 0.174958i | ||||
\(291\) | −2.02810 | − | 3.91406i | −0.118889 | − | 0.229446i | ||||
\(292\) | 0.819087 | − | 3.94166i | 0.0479335 | − | 0.230668i | ||||
\(293\) | −13.3067 | − | 14.2480i | −0.777385 | − | 0.832376i | 0.212065 | − | 0.977256i | \(-0.431981\pi\) |
−0.989449 | + | 0.144880i | \(0.953720\pi\) | |||||||
\(294\) | 17.9208 | + | 5.02117i | 1.04516 | + | 0.292841i | ||||
\(295\) | −6.09575 | + | 8.63571i | −0.354908 | + | 0.502791i | ||||
\(296\) | −0.649984 | − | 3.12789i | −0.0377795 | − | 0.181805i | ||||
\(297\) | −2.68865 | + | 2.18738i | −0.156011 | + | 0.126925i | ||||
\(298\) | 20.3044 | − | 12.3474i | 1.17620 | − | 0.715263i | ||||
\(299\) | −7.48600 | + | 8.01554i | −0.432926 | + | 0.463551i | ||||
\(300\) | −3.58148 | − | 5.07381i | −0.206777 | − | 0.292936i | ||||
\(301\) | 2.86161 | + | 8.05179i | 0.164940 | + | 0.464097i | ||||
\(302\) | −1.05505 | + | 15.4243i | −0.0607113 | + | 0.887567i | ||||
\(303\) | 12.5346 | − | 24.1908i | 0.720097 | − | 1.38972i | ||||
\(304\) | 15.9793 | + | 13.0001i | 0.916477 | + | 0.745609i | ||||
\(305\) | 11.8919 | + | 1.63451i | 0.680931 | + | 0.0935918i | ||||
\(306\) | −0.523706 | − | 0.0719818i | −0.0299383 | − | 0.00411492i | ||||
\(307\) | 16.3867 | + | 13.3316i | 0.935241 | + | 0.760875i | 0.971147 | − | 0.238480i | \(-0.0766492\pi\) |
−0.0359064 | + | 0.999355i | \(0.511432\pi\) | |||||||
\(308\) | −0.559491 | + | 1.07977i | −0.0318799 | + | 0.0615255i | ||||
\(309\) | 0.583247 | − | 8.52677i | 0.0331798 | − | 0.485071i | ||||
\(310\) | 4.57320 | + | 12.8677i | 0.259740 | + | 0.730839i | ||||
\(311\) | 3.91181 | + | 5.54177i | 0.221818 | + | 0.314245i | 0.912628 | − | 0.408792i | \(-0.134050\pi\) |
−0.690809 | + | 0.723037i | \(0.742746\pi\) | |||||||
\(312\) | −1.23994 | + | 1.32766i | −0.0701980 | + | 0.0751637i | ||||
\(313\) | 10.3488 | − | 6.29326i | 0.584950 | − | 0.355716i | −0.195720 | − | 0.980660i | \(-0.562704\pi\) |
0.780670 | + | 0.624944i | \(0.214878\pi\) | |||||||
\(314\) | −24.7668 | + | 20.1493i | −1.39767 | + | 1.13709i | ||||
\(315\) | 0.101758 | + | 0.489688i | 0.00573343 | + | 0.0275908i | ||||
\(316\) | 9.99999 | − | 14.1668i | 0.562543 | − | 0.796942i | ||||
\(317\) | 11.8403 | + | 3.31749i | 0.665016 | + | 0.186329i | 0.585709 | − | 0.810521i | \(-0.300816\pi\) |
0.0793072 | + | 0.996850i | \(0.474729\pi\) | |||||||
\(318\) | 26.5948 | + | 28.4761i | 1.49136 | + | 1.59686i | ||||
\(319\) | −0.298695 | + | 1.43740i | −0.0167237 | + | 0.0804789i | ||||
\(320\) | −4.55462 | − | 8.79002i | −0.254611 | − | 0.491377i | ||||
\(321\) | 29.2539 | − | 12.7068i | 1.63279 | − | 0.709222i | ||||
\(322\) | 0.699276 | + | 10.2231i | 0.0389691 | + | 0.569709i | ||||
\(323\) | 4.25395 | + | 1.84775i | 0.236696 | + | 0.102812i | ||||
\(324\) | 4.74318 | − | 13.3460i | 0.263510 | − | 0.741446i | ||||
\(325\) | 4.66081 | − | 1.30590i | 0.258535 | − | 0.0724382i | ||||
\(326\) | −13.0629 | − | 7.94373i | −0.723487 | − | 0.439962i | ||||
\(327\) | −4.57273 | + | 0.628507i | −0.252873 | + | 0.0347565i | ||||
\(328\) | −4.08534 | −0.225575 | ||||||||
\(329\) | −7.06100 | − | 2.34671i | −0.389286 | − | 0.129379i | ||||
\(330\) | −3.45918 | −0.190422 | ||||||||
\(331\) | −28.9824 | + | 3.98354i | −1.59302 | + | 0.218955i | −0.877478 | − | 0.479617i | \(-0.840776\pi\) |
−0.715540 | + | 0.698572i | \(0.753819\pi\) | |||||||
\(332\) | 24.9753 | + | 15.1878i | 1.37070 | + | 0.833540i | ||||
\(333\) | −1.71724 | + | 0.481147i | −0.0941039 | + | 0.0263667i | ||||
\(334\) | −11.4796 | + | 32.3005i | −0.628135 | + | 1.76740i | ||||
\(335\) | −9.65120 | − | 4.19211i | −0.527301 | − | 0.229039i | ||||
\(336\) | 0.543243 | + | 7.94193i | 0.0296363 | + | 0.433268i | ||||
\(337\) | 16.4998 | − | 7.16686i | 0.898799 | − | 0.390404i | 0.102096 | − | 0.994775i | \(-0.467445\pi\) |
0.796703 | + | 0.604371i | \(0.206575\pi\) | |||||||
\(338\) | −7.07398 | − | 13.6522i | −0.384774 | − | 0.742580i | ||||
\(339\) | 4.53044 | − | 21.8017i | 0.246060 | − | 1.18411i | ||||
\(340\) | −2.01251 | − | 2.15488i | −0.109144 | − | 0.116865i | ||||
\(341\) | −2.58146 | − | 0.723290i | −0.139794 | − | 0.0391684i | ||||
\(342\) | 1.41387 | − | 2.00300i | 0.0764533 | − | 0.108310i | ||||
\(343\) | 2.83136 | + | 13.6253i | 0.152879 | + | 0.735695i | ||||
\(344\) | 2.98770 | − | 2.43067i | 0.161086 | − | 0.131053i | ||||
\(345\) | −11.6122 | + | 7.06151i | −0.625177 | + | 0.380179i | ||||
\(346\) | −17.5816 | + | 18.8253i | −0.945194 | + | 1.01206i | ||||
\(347\) | 8.07347 | + | 11.4375i | 0.433407 | + | 0.613998i | 0.973798 | − | 0.227417i | \(-0.0730279\pi\) |
−0.540391 | + | 0.841414i | \(0.681724\pi\) | |||||||
\(348\) | −2.21211 | − | 6.22427i | −0.118581 | − | 0.333656i | ||||
\(349\) | 0.638597 | − | 9.33596i | 0.0341833 | − | 0.499742i | −0.948780 | − | 0.315939i | \(-0.897681\pi\) |
0.982963 | − | 0.183804i | \(-0.0588411\pi\) | |||||||
\(350\) | 2.08053 | − | 4.01523i | 0.111209 | − | 0.214623i | ||||
\(351\) | 9.42841 | + | 7.67058i | 0.503251 | + | 0.409425i | ||||
\(352\) | 4.84067 | + | 0.665335i | 0.258009 | + | 0.0354625i | ||||
\(353\) | 0.567904 | + | 0.0780567i | 0.0302265 | + | 0.00415454i | 0.151264 | − | 0.988493i | \(-0.451666\pi\) |
−0.121038 | + | 0.992648i | \(0.538622\pi\) | |||||||
\(354\) | 15.5328 | + | 12.6368i | 0.825557 | + | 0.671641i | ||||
\(355\) | −8.98428 | + | 17.3389i | −0.476836 | + | 0.920252i | ||||
\(356\) | 0.922463 | − | 13.4859i | 0.0488905 | − | 0.714753i | ||||
\(357\) | 0.600196 | + | 1.68879i | 0.0317657 | + | 0.0893802i | ||||
\(358\) | 9.07536 | + | 12.8569i | 0.479648 | + | 0.679506i | ||||
\(359\) | −2.23673 | + | 2.39495i | −0.118050 | + | 0.126401i | −0.787123 | − | 0.616796i | \(-0.788430\pi\) |
0.669073 | + | 0.743197i | \(0.266691\pi\) | |||||||
\(360\) | 0.192613 | − | 0.117131i | 0.0101516 | − | 0.00617333i | ||||
\(361\) | −1.94722 | + | 1.58418i | −0.102485 | + | 0.0833781i | ||||
\(362\) | −3.17982 | − | 15.3022i | −0.167128 | − | 0.804263i | ||||
\(363\) | −10.0836 | + | 14.2852i | −0.529253 | + | 0.749781i | ||||
\(364\) | 4.10645 | + | 1.15057i | 0.215237 | + | 0.0603065i | ||||
\(365\) | 2.65381 | + | 2.84153i | 0.138907 | + | 0.148733i | ||||
\(366\) | 4.62641 | − | 22.2635i | 0.241826 | − | 1.16373i | ||||
\(367\) | −5.57029 | − | 10.7502i | −0.290767 | − | 0.561155i | 0.697004 | − | 0.717067i | \(-0.254516\pi\) |
−0.987771 | + | 0.155913i | \(0.950168\pi\) | |||||||
\(368\) | 19.8688 | − | 8.63026i | 1.03574 | − | 0.449883i | ||||
\(369\) | 0.155629 | + | 2.27522i | 0.00810174 | + | 0.118443i | ||||
\(370\) | −19.5665 | − | 8.49894i | −1.01722 | − | 0.441839i | ||||
\(371\) | −4.43019 | + | 12.4654i | −0.230004 | + | 0.647170i | ||||
\(372\) | 11.6151 | − | 3.25441i | 0.602217 | − | 0.168733i | ||||
\(373\) | 3.54699 | + | 2.15697i | 0.183656 | + | 0.111684i | 0.608403 | − | 0.793629i | \(-0.291811\pi\) |
−0.424746 | + | 0.905312i | \(0.639637\pi\) | |||||||
\(374\) | 1.22980 | − | 0.169033i | 0.0635916 | − | 0.00874046i | ||||
\(375\) | 19.9309 | 1.02923 | ||||||||
\(376\) | 0.0691279 | + | 3.35306i | 0.00356500 | + | 0.172921i | ||||
\(377\) | 5.14828 | 0.265150 | ||||||||
\(378\) | 11.2501 | − | 1.54629i | 0.578642 | − | 0.0795325i | ||||
\(379\) | −0.129501 | − | 0.0787513i | −0.00665202 | − | 0.00404518i | 0.516254 | − | 0.856436i | \(-0.327326\pi\) |
−0.522906 | + | 0.852390i | \(0.675152\pi\) | |||||||
\(380\) | 13.1678 | − | 3.68945i | 0.675495 | − | 0.189265i | ||||
\(381\) | 6.26724 | − | 17.6343i | 0.321080 | − | 0.903433i | ||||
\(382\) | 23.1077 | + | 10.0371i | 1.18229 | + | 0.513542i | ||||
\(383\) | 0.320618 | + | 4.68727i | 0.0163828 | + | 0.239508i | 0.998647 | + | 0.0520050i | \(0.0165612\pi\) |
−0.982264 | + | 0.187503i | \(0.939961\pi\) | |||||||
\(384\) | 5.88029 | − | 2.55417i | 0.300077 | − | 0.130342i | ||||
\(385\) | −0.540339 | − | 1.04281i | −0.0275382 | − | 0.0531464i | ||||
\(386\) | 2.61838 | − | 12.6003i | 0.133272 | − | 0.641340i | ||||
\(387\) | −1.46751 | − | 1.57132i | −0.0745980 | − | 0.0798749i | ||||
\(388\) | 4.49146 | + | 1.25845i | 0.228020 | + | 0.0638881i | ||||
\(389\) | 0.253156 | − | 0.358641i | 0.0128355 | − | 0.0181838i | −0.810502 | − | 0.585737i | \(-0.800805\pi\) |
0.823337 | + | 0.567553i | \(0.192110\pi\) | |||||||
\(390\) | 2.46802 | + | 11.8768i | 0.124973 | + | 0.601403i | ||||
\(391\) | 3.78327 | − | 3.07792i | 0.191328 | − | 0.155657i | ||||
\(392\) | 2.43349 | − | 1.47984i | 0.122910 | − | 0.0747431i | ||||
\(393\) | −5.69438 | + | 6.09719i | −0.287243 | + | 0.307563i | ||||
\(394\) | 9.94301 | + | 14.0860i | 0.500922 | + | 0.709644i | ||||
\(395\) | 5.60824 | + | 15.7801i | 0.282181 | + | 0.793981i | ||||
\(396\) | 0.0208811 | − | 0.305271i | 0.00104931 | − | 0.0153404i | ||||
\(397\) | 6.99989 | − | 13.5092i | 0.351314 | − | 0.678006i | −0.644963 | − | 0.764214i | \(-0.723127\pi\) |
0.996277 | + | 0.0862079i | \(0.0274749\pi\) | |||||||
\(398\) | 22.4779 | + | 18.2871i | 1.12671 | + | 0.916649i | ||||
\(399\) | −8.23499 | − | 1.13187i | −0.412265 | − | 0.0566645i | ||||
\(400\) | −9.47106 | − | 1.30177i | −0.473553 | − | 0.0650884i | ||||
\(401\) | 1.64278 | + | 1.33650i | 0.0820365 | + | 0.0667417i | 0.671223 | − | 0.741255i | \(-0.265769\pi\) |
−0.589187 | + | 0.807997i | \(0.700552\pi\) | |||||||
\(402\) | −9.17039 | + | 17.6980i | −0.457377 | + | 0.882698i | ||||
\(403\) | −0.641556 | + | 9.37922i | −0.0319582 | + | 0.467212i | ||||
\(404\) | 9.65406 | + | 27.1639i | 0.480308 | + | 1.35146i | ||||
\(405\) | 7.88841 | + | 11.1753i | 0.391978 | + | 0.555306i | ||||
\(406\) | 3.28307 | − | 3.51531i | 0.162936 | − | 0.174462i | ||||
\(407\) | 3.57816 | − | 2.17593i | 0.177363 | − | 0.107857i | ||||
\(408\) | 0.626643 | − | 0.509812i | 0.0310235 | − | 0.0252395i | ||||
\(409\) | −6.36070 | − | 30.6094i | −0.314517 | − | 1.51354i | −0.778473 | − | 0.627679i | \(-0.784005\pi\) |
0.463956 | − | 0.885858i | \(-0.346430\pi\) | |||||||
\(410\) | −15.7317 | + | 22.2867i | −0.776933 | + | 1.10066i | ||||
\(411\) | −32.2416 | − | 9.03368i | −1.59036 | − | 0.445599i | ||||
\(412\) | 6.17253 | + | 6.60917i | 0.304099 | + | 0.325610i | ||||
\(413\) | −1.38323 | + | 6.65645i | −0.0680641 | + | 0.327542i | ||||
\(414\) | −1.18615 | − | 2.28916i | −0.0582960 | − | 0.112506i | ||||
\(415\) | −25.8930 | + | 11.2469i | −1.27104 | + | 0.552090i | ||||
\(416\) | −1.16931 | − | 17.0947i | −0.0573300 | − | 0.838135i | ||||
\(417\) | 3.72525 | + | 1.61811i | 0.182426 | + | 0.0792390i | ||||
\(418\) | −1.92802 | + | 5.42492i | −0.0943024 | + | 0.265342i | ||||
\(419\) | 13.8047 | − | 3.86790i | 0.674404 | − | 0.188959i | 0.0844891 | − | 0.996424i | \(-0.473074\pi\) |
0.589915 | + | 0.807465i | \(0.299161\pi\) | |||||||
\(420\) | 4.51521 | + | 2.74576i | 0.220320 | + | 0.133979i | ||||
\(421\) | 2.83613 | − | 0.389818i | 0.138225 | − | 0.0189986i | −0.0667225 | − | 0.997772i | \(-0.521254\pi\) |
0.204947 | + | 0.978773i | \(0.434298\pi\) | |||||||
\(422\) | 24.0826 | 1.17232 | ||||||||
\(423\) | 1.86476 | − | 0.166232i | 0.0906678 | − | 0.00808249i | ||||
\(424\) | 5.96279 | 0.289579 | ||||||||
\(425\) | −2.13237 | + | 0.293088i | −0.103435 | + | 0.0142169i | ||||
\(426\) | 31.6076 | + | 19.2210i | 1.53139 | + | 0.931261i | ||||
\(427\) | 7.43423 | − | 2.08297i | 0.359768 | − | 0.100802i | ||||
\(428\) | −11.3014 | + | 31.7990i | −0.546273 | + | 1.53706i | ||||
\(429\) | −2.18420 | − | 0.948731i | −0.105454 | − | 0.0458051i | ||||
\(430\) | −1.75511 | − | 25.6588i | −0.0846388 | − | 1.23738i | ||||
\(431\) | 1.63185 | − | 0.708812i | 0.0786034 | − | 0.0341423i | −0.358733 | − | 0.933440i | \(-0.616791\pi\) |
0.437337 | + | 0.899298i | \(0.355922\pi\) | |||||||
\(432\) | −11.0445 | − | 21.3150i | −0.531381 | − | 1.02552i | ||||
\(433\) | −3.53357 | + | 17.0045i | −0.169813 | + | 0.817183i | 0.804846 | + | 0.593484i | \(0.202248\pi\) |
−0.974658 | + | 0.223699i | \(0.928187\pi\) | |||||||
\(434\) | 5.99512 | + | 6.41921i | 0.287775 | + | 0.308132i | ||||
\(435\) | 6.14299 | + | 1.72118i | 0.294534 | + | 0.0825244i | ||||
\(436\) | 2.81646 | − | 3.99001i | 0.134884 | − | 0.191087i | ||||
\(437\) | 4.60215 | + | 22.1468i | 0.220151 | + | 1.05942i | ||||
\(438\) | 5.71334 | − | 4.64814i | 0.272994 | − | 0.222097i | ||||
\(439\) | 2.97851 | − | 1.81127i | 0.142157 | − | 0.0864473i | −0.446705 | − | 0.894681i | \(-0.647403\pi\) |
0.588861 | + | 0.808234i | \(0.299576\pi\) | |||||||
\(440\) | −0.361326 | + | 0.386886i | −0.0172255 | + | 0.0184441i | ||||
\(441\) | −0.916858 | − | 1.29889i | −0.0436599 | − | 0.0618520i | ||||
\(442\) | −1.45778 | − | 4.10181i | −0.0693396 | − | 0.195103i | ||||
\(443\) | 1.53753 | − | 22.4780i | 0.0730504 | − | 1.06796i | −0.806213 | − | 0.591625i | \(-0.798487\pi\) |
0.879264 | − | 0.476335i | \(-0.158035\pi\) | |||||||
\(444\) | −8.66897 | + | 16.7304i | −0.411411 | + | 0.793988i | ||||
\(445\) | 10.1267 | + | 8.23869i | 0.480052 | + | 0.390551i | ||||
\(446\) | −30.8762 | − | 4.24384i | −1.46203 | − | 0.200952i | ||||
\(447\) | 20.0831 | + | 2.76036i | 0.949900 | + | 0.130561i | ||||
\(448\) | −4.93928 | − | 4.01840i | −0.233359 | − | 0.189852i | ||||
\(449\) | −9.13139 | + | 17.6228i | −0.430937 | + | 0.831670i | 0.569020 | + | 0.822324i | \(0.307323\pi\) |
−0.999956 | + | 0.00934621i | \(0.997025\pi\) | |||||||
\(450\) | −0.0776485 | + | 1.13518i | −0.00366039 | + | 0.0535130i | ||||
\(451\) | −1.79339 | − | 5.04611i | −0.0844473 | − | 0.237612i | ||||
\(452\) | 13.5873 | + | 19.2489i | 0.639094 | + | 0.905390i | ||||
\(453\) | −9.00186 | + | 9.63864i | −0.422944 | + | 0.452863i | ||||
\(454\) | 34.1349 | − | 20.7579i | 1.60203 | − | 0.974215i | ||||
\(455\) | −3.19486 | + | 2.59921i | −0.149777 | + | 0.121853i | ||||
\(456\) | 0.762278 | + | 3.66828i | 0.0356969 | + | 0.171783i | ||||
\(457\) | −4.14568 | + | 5.87309i | −0.193927 | + | 0.274732i | −0.902302 | − | 0.431104i | \(-0.858124\pi\) |
0.708375 | + | 0.705836i | \(0.249428\pi\) | |||||||
\(458\) | −9.02835 | − | 2.52963i | −0.421867 | − | 0.118202i | ||||
\(459\) | −3.68918 | − | 3.95014i | −0.172196 | − | 0.184377i | ||||
\(460\) | 2.92577 | − | 14.0796i | 0.136415 | − | 0.656465i | ||||
\(461\) | −16.5934 | − | 32.0238i | −0.772832 | − | 1.49150i | −0.868286 | − | 0.496064i | \(-0.834778\pi\) |
0.0954535 | − | 0.995434i | \(-0.469570\pi\) | |||||||
\(462\) | −2.04067 | + | 0.886389i | −0.0949406 | + | 0.0412385i | ||||
\(463\) | −0.638668 | − | 9.33699i | −0.0296814 | − | 0.433927i | −0.988632 | − | 0.150354i | \(-0.951959\pi\) |
0.958951 | − | 0.283573i | \(-0.0915197\pi\) | |||||||
\(464\) | −9.32656 | − | 4.05110i | −0.432975 | − | 0.188067i | ||||
\(465\) | −3.90119 | + | 10.9769i | −0.180913 | + | 0.509042i | ||||
\(466\) | −10.0189 | + | 2.80716i | −0.464116 | + | 0.130039i | ||||
\(467\) | −7.78838 | − | 4.73622i | −0.360403 | − | 0.219166i | 0.327695 | − | 0.944784i | \(-0.393728\pi\) |
−0.688098 | + | 0.725617i | \(0.741554\pi\) | |||||||
\(468\) | −1.06301 | + | 0.146108i | −0.0491378 | + | 0.00675384i | ||||
\(469\) | −6.76771 | −0.312504 | ||||||||
\(470\) | 18.5581 | + | 12.5347i | 0.856022 | + | 0.578184i | ||||
\(471\) | −27.2362 | −1.25498 | ||||||||
\(472\) | 3.03581 | − | 0.417262i | 0.139734 | − | 0.0192061i | ||||
\(473\) | 4.31385 | + | 2.62331i | 0.198351 | + | 0.120620i | ||||
\(474\) | 30.5480 | − | 8.55916i | 1.40312 | − | 0.393135i | ||||
\(475\) | 3.34302 | − | 9.40635i | 0.153388 | − | 0.431593i | ||||
\(476\) | −1.73941 | − | 0.755533i | −0.0797257 | − | 0.0346298i | ||||
\(477\) | −0.227150 | − | 3.32082i | −0.0104005 | − | 0.152050i | ||||
\(478\) | −11.2793 | + | 4.89929i | −0.515903 | + | 0.224088i | ||||
\(479\) | −14.3001 | − | 27.5979i | −0.653387 | − | 1.26098i | −0.951852 | − | 0.306559i | \(-0.900822\pi\) |
0.298464 | − | 0.954421i | \(-0.403526\pi\) | |||||||
\(480\) | 4.31989 | − | 20.7885i | 0.197175 | − | 0.948860i | ||||
\(481\) | −10.0237 | − | 10.7328i | −0.457043 | − | 0.489374i | ||||
\(482\) | −44.9462 | − | 12.5933i | −2.04725 | − | 0.573611i | ||||
\(483\) | −5.04089 | + | 7.14131i | −0.229368 | + | 0.324941i | ||||
\(484\) | −3.76427 | − | 18.1147i | −0.171103 | − | 0.823394i | ||||
\(485\) | −3.49440 | + | 2.84290i | −0.158672 | + | 0.129090i | ||||
\(486\) | −4.67886 | + | 2.84528i | −0.212237 | + | 0.129064i | ||||
\(487\) | 0.809461 | − | 0.866721i | 0.0366802 | − | 0.0392749i | −0.712232 | − | 0.701944i | \(-0.752316\pi\) |
0.748912 | + | 0.662669i | \(0.230576\pi\) | |||||||
\(488\) | −2.00677 | − | 2.84295i | −0.0908424 | − | 0.128694i | ||||
\(489\) | −4.36752 | − | 12.2890i | −0.197506 | − | 0.555729i | ||||
\(490\) | 1.29785 | − | 18.9739i | 0.0586309 | − | 0.857154i | ||||
\(491\) | 18.4702 | − | 35.6459i | 0.833549 | − | 1.60868i | 0.0407684 | − | 0.999169i | \(-0.487019\pi\) |
0.792780 | − | 0.609507i | \(-0.208633\pi\) | |||||||
\(492\) | 18.6915 | + | 15.2067i | 0.842679 | + | 0.685570i | ||||
\(493\) | −2.26805 | − | 0.311736i | −0.102148 | − | 0.0140399i | ||||
\(494\) | 20.0015 | + | 2.74914i | 0.899910 | + | 0.123690i | ||||
\(495\) | 0.229230 | + | 0.186493i | 0.0103031 | + | 0.00838222i | ||||
\(496\) | 8.54259 | − | 16.4865i | 0.383574 | − | 0.740264i | ||||
\(497\) | −0.857134 | + | 12.5309i | −0.0384477 | + | 0.562085i | ||||
\(498\) | 17.9085 | + | 50.3896i | 0.802498 | + | 2.25801i | ||||
\(499\) | 12.1259 | + | 17.1784i | 0.542828 | + | 0.769012i | 0.992243 | − | 0.124311i | \(-0.0396721\pi\) |
−0.449416 | + | 0.893323i | \(0.648368\pi\) | |||||||
\(500\) | −14.3943 | + | 15.4126i | −0.643735 | + | 0.689272i | ||||
\(501\) | −24.9854 | + | 15.1940i | −1.11627 | + | 0.678816i | ||||
\(502\) | 40.0457 | − | 32.5796i | 1.78733 | − | 1.45410i | ||||
\(503\) | −1.53332 | − | 7.37875i | −0.0683674 | − | 0.329002i | 0.930982 | − | 0.365065i | \(-0.118953\pi\) |
−0.999350 | + | 0.0360627i | \(0.988518\pi\) | |||||||
\(504\) | 0.0836143 | − | 0.118454i | 0.00372448 | − | 0.00527638i | ||||
\(505\) | −26.8092 | − | 7.51158i | −1.19299 | − | 0.334261i | ||||
\(506\) | 4.13241 | + | 4.42473i | 0.183708 | + | 0.196703i | ||||
\(507\) | 2.66866 | − | 12.8423i | 0.118519 | − | 0.570345i | ||||
\(508\) | 9.11035 | + | 17.5822i | 0.404206 | + | 0.780083i | ||||
\(509\) | −18.6420 | + | 8.09736i | −0.826292 | + | 0.358909i | −0.768842 | − | 0.639439i | \(-0.779167\pi\) |
−0.0574503 | + | 0.998348i | \(0.518297\pi\) | |||||||
\(510\) | −0.368118 | − | 5.38169i | −0.0163005 | − | 0.238305i | ||||
\(511\) | 2.29368 | + | 0.996285i | 0.101466 | + | 0.0440731i | ||||
\(512\) | −9.87796 | + | 27.7939i | −0.436548 | + | 1.22833i | ||||
\(513\) | 24.1382 | − | 6.76320i | 1.06573 | − | 0.298603i | ||||
\(514\) | −28.2322 | − | 17.1684i | −1.24527 | − | 0.757265i | ||||
\(515\) | −8.65239 | + | 1.18924i | −0.381270 | + | 0.0524043i | ||||
\(516\) | −22.7171 | −1.00007 | ||||||||
\(517\) | −4.11126 | + | 1.55731i | −0.180813 | + | 0.0684905i | ||||
\(518\) | −13.7206 | −0.602851 | ||||||||
\(519\) | −21.7689 | + | 2.99206i | −0.955547 | + | 0.131337i | ||||
\(520\) | 1.58613 | + | 0.964546i | 0.0695564 | + | 0.0422982i | ||||
\(521\) | 21.8066 | − | 6.10993i | 0.955366 | − | 0.267681i | 0.243425 | − | 0.969920i | \(-0.421729\pi\) |
0.711941 | + | 0.702239i | \(0.247816\pi\) | |||||||
\(522\) | −0.405282 | + | 1.14035i | −0.0177387 | + | 0.0499119i | ||||
\(523\) | 23.6032 | + | 10.2523i | 1.03210 | + | 0.448303i | 0.845411 | − | 0.534116i | \(-0.179356\pi\) |
0.186687 | + | 0.982420i | \(0.440225\pi\) | |||||||
\(524\) | −0.602411 | − | 8.80693i | −0.0263164 | − | 0.384733i | ||||
\(525\) | 3.53835 | − | 1.53692i | 0.154426 | − | 0.0670768i | ||||
\(526\) | −0.535101 | − | 1.03270i | −0.0233315 | − | 0.0450278i | ||||
\(527\) | 0.850561 | − | 4.09312i | 0.0370510 | − | 0.178299i | ||||
\(528\) | 3.21033 | + | 3.43742i | 0.139711 | + | 0.149594i | ||||
\(529\) | 0.757596 | + | 0.212269i | 0.0329390 | + | 0.00922907i | ||||
\(530\) | 22.9613 | − | 32.5288i | 0.997377 | − | 1.41296i | ||||
\(531\) | −0.348031 | − | 1.67482i | −0.0151033 | − | 0.0726809i | ||||
\(532\) | 6.82269 | − | 5.55067i | 0.295801 | − | 0.240652i | ||||
\(533\) | −16.0458 | + | 9.75765i | −0.695020 | + | 0.422651i | ||||
\(534\) | 16.8796 | − | 18.0736i | 0.730450 | − | 0.782121i | ||||
\(535\) | −18.7954 | − | 26.6270i | −0.812595 | − | 1.15119i | ||||
\(536\) | 1.02152 | + | 2.87428i | 0.0441229 | + | 0.124150i | ||||
\(537\) | −0.916137 | + | 13.3935i | −0.0395342 | + | 0.577970i | ||||
\(538\) | 1.81772 | − | 3.50805i | 0.0783676 | − | 0.151243i | ||||
\(539\) | 2.89611 | + | 2.35616i | 0.124744 | + | 0.101487i | ||||
\(540\) | −15.7882 | − | 2.17003i | −0.679414 | − | 0.0933833i | ||||
\(541\) | 21.1386 | + | 2.90544i | 0.908821 | + | 0.124915i | 0.575408 | − | 0.817867i | \(-0.304843\pi\) |
0.333413 | + | 0.942781i | \(0.391800\pi\) | |||||||
\(542\) | −24.4995 | − | 19.9318i | −1.05234 | − | 0.856146i | ||||
\(543\) | 6.13379 | − | 11.8377i | 0.263226 | − | 0.508004i | ||||
\(544\) | −0.519976 | + | 7.60178i | −0.0222938 | + | 0.325923i | ||||
\(545\) | 1.57954 | + | 4.44439i | 0.0676600 | + | 0.190377i | ||||
\(546\) | 4.49928 | + | 6.37403i | 0.192552 | + | 0.272783i | ||||
\(547\) | −29.1705 | + | 31.2340i | −1.24724 | + | 1.33547i | −0.326546 | + | 0.945181i | \(0.605885\pi\) |
−0.920693 | + | 0.390287i | \(0.872376\pi\) | |||||||
\(548\) | 30.2711 | − | 18.4082i | 1.29312 | − | 0.786361i | ||||
\(549\) | −1.50686 | + | 1.22592i | −0.0643111 | + | 0.0523210i | ||||
\(550\) | −0.543622 | − | 2.61605i | −0.0231801 | − | 0.111549i | ||||
\(551\) | 6.12314 | − | 8.67452i | 0.260855 | − | 0.369547i | ||||
\(552\) | 3.79382 | + | 1.06298i | 0.161476 | + | 0.0452434i | ||||
\(553\) | 7.35198 | + | 7.87205i | 0.312638 | + | 0.334754i | ||||
\(554\) | −2.20727 | + | 10.6220i | −0.0937780 | + | 0.451284i | ||||
\(555\) | −8.37223 | − | 16.1577i | −0.355381 | − | 0.685855i | ||||
\(556\) | −3.94171 | + | 1.71212i | −0.167166 | + | 0.0726103i | ||||
\(557\) | −2.74810 | − | 40.1757i | −0.116441 | − | 1.70230i | −0.578687 | − | 0.815550i | \(-0.696435\pi\) |
0.462247 | − | 0.886751i | \(-0.347044\pi\) | |||||||
\(558\) | −2.02701 | − | 0.880455i | −0.0858102 | − | 0.0372726i | ||||
\(559\) | 5.92908 | − | 16.6828i | 0.250773 | − | 0.705608i | ||||
\(560\) | 7.83304 | − | 2.19472i | 0.331007 | − | 0.0927437i | ||||
\(561\) | 0.904791 | + | 0.550215i | 0.0382003 | + | 0.0232301i | ||||
\(562\) | −59.8474 | + | 8.22584i | −2.52451 | + | 0.346986i | ||||
\(563\) | −42.5991 | −1.79534 | −0.897670 | − | 0.440669i | \(-0.854741\pi\) | ||||
−0.897670 | + | 0.440669i | \(0.854741\pi\) | |||||||
\(564\) | 12.1647 | − | 15.5984i | 0.512224 | − | 0.656813i | ||||
\(565\) | −22.7548 | −0.957300 | ||||||||
\(566\) | 54.4758 | − | 7.48753i | 2.28979 | − | 0.314724i | ||||
\(567\) | 7.51719 | + | 4.57130i | 0.315692 | + | 0.191977i | ||||
\(568\) | 5.45129 | − | 1.52738i | 0.228731 | − | 0.0640874i | ||||
\(569\) | 10.8741 | − | 30.5969i | 0.455868 | − | 1.28269i | −0.462380 | − | 0.886682i | \(-0.653004\pi\) |
0.918247 | − | 0.396007i | \(-0.129604\pi\) | |||||||
\(570\) | 22.9469 | + | 9.96726i | 0.961141 | + | 0.417482i | ||||
\(571\) | 2.67504 | + | 39.1077i | 0.111947 | + | 1.63661i | 0.626694 | + | 0.779266i | \(0.284408\pi\) |
−0.514747 | + | 0.857342i | \(0.672114\pi\) | |||||||
\(572\) | 2.31111 | − | 1.00386i | 0.0966323 | − | 0.0419733i | ||||
\(573\) | 9.88745 | + | 19.0819i | 0.413054 | + | 0.797158i | ||||
\(574\) | −3.56978 | + | 17.1787i | −0.149000 | + | 0.717026i | ||||
\(575\) | −7.16525 | − | 7.67211i | −0.298812 | − | 0.319949i | ||||
\(576\) | 1.54269 | + | 0.432240i | 0.0642786 | + | 0.0180100i | ||||
\(577\) | −15.1252 | + | 21.4275i | −0.629670 | + | 0.892039i | −0.999310 | − | 0.0371362i | \(-0.988176\pi\) |
0.369641 | + | 0.929175i | \(0.379481\pi\) | |||||||
\(578\) | 0.393848 | + | 1.89530i | 0.0163819 | + | 0.0788342i | ||||
\(579\) | 8.51608 | − | 6.92835i | 0.353916 | − | 0.287932i | ||||
\(580\) | −5.76753 | + | 3.50731i | −0.239484 | + | 0.145633i | ||||
\(581\) | −12.3931 | + | 13.2698i | −0.514153 | + | 0.550523i | ||||
\(582\) | 4.92112 | + | 6.97164i | 0.203987 | + | 0.288984i | ||||
\(583\) | 2.61755 | + | 7.36509i | 0.108408 | + | 0.305031i | ||||
\(584\) | 0.0769190 | − | 1.12452i | 0.00318293 | − | 0.0465328i | ||||
\(585\) | 0.476755 | − | 0.920096i | 0.0197114 | − | 0.0380413i | ||||
\(586\) | 29.2747 | + | 23.8167i | 1.20933 | + | 0.983859i | ||||
\(587\) | 39.9365 | + | 5.48914i | 1.64835 | + | 0.226561i | 0.899734 | − | 0.436439i | \(-0.143760\pi\) |
0.748620 | + | 0.663000i | \(0.230717\pi\) | |||||||
\(588\) | −16.6422 | − | 2.28742i | −0.686313 | − | 0.0943315i | ||||
\(589\) | 15.0403 | + | 12.2362i | 0.619726 | + | 0.504185i | ||||
\(590\) | 9.41391 | − | 18.1680i | 0.387564 | − | 0.747965i | ||||
\(591\) | −1.00372 | + | 14.6739i | −0.0412877 | + | 0.603605i | ||||
\(592\) | 9.71342 | + | 27.3309i | 0.399219 | + | 1.12329i | ||||
\(593\) | 13.5505 | + | 19.1966i | 0.556451 | + | 0.788311i | 0.993824 | − | 0.110969i | \(-0.0353954\pi\) |
−0.437373 | + | 0.899280i | \(0.644091\pi\) | |||||||
\(594\) | 4.57961 | − | 4.90357i | 0.187904 | − | 0.201196i | ||||
\(595\) | 1.56487 | − | 0.951616i | 0.0641533 | − | 0.0390125i | ||||
\(596\) | −16.6389 | + | 13.5367i | −0.681555 | + | 0.554486i | ||||
\(597\) | 5.02925 | + | 24.2021i | 0.205833 | + | 0.990524i | ||||
\(598\) | 12.2435 | − | 17.3451i | 0.500675 | − | 0.709295i | ||||
\(599\) | −1.07336 | − | 0.300741i | −0.0438562 | − | 0.0122879i | 0.247799 | − | 0.968812i | \(-0.420293\pi\) |
−0.291655 | + | 0.956524i | \(0.594206\pi\) | |||||||
\(600\) | −1.18682 | − | 1.27077i | −0.0484516 | − | 0.0518790i | ||||
\(601\) | −2.64321 | + | 12.7198i | −0.107819 | + | 0.518852i | 0.890180 | + | 0.455610i | \(0.150579\pi\) |
−0.997998 | + | 0.0632418i | \(0.979856\pi\) | |||||||
\(602\) | −7.61025 | − | 14.6871i | −0.310171 | − | 0.598602i | ||||
\(603\) | 1.56184 | − | 0.678403i | 0.0636030 | − | 0.0276267i | ||||
\(604\) | −0.952311 | − | 13.9223i | −0.0387490 | − | 0.566490i | ||||
\(605\) | 16.3890 | + | 7.11875i | 0.666308 | + | 0.289419i | ||||
\(606\) | −17.6620 | + | 49.6961i | −0.717470 | + | 2.01877i | ||||
\(607\) | −37.8586 | + | 10.6075i | −1.53663 | + | 0.430545i | −0.930946 | − | 0.365157i | \(-0.881015\pi\) |
−0.605689 | + | 0.795702i | \(0.707102\pi\) | |||||||
\(608\) | −30.1941 | − | 18.3615i | −1.22453 | − | 0.744655i | ||||
\(609\) | 4.06496 | − | 0.558717i | 0.164721 | − | 0.0226403i | ||||
\(610\) | −23.2368 | −0.940829 | ||||||||
\(611\) | 8.28013 | + | 13.0045i | 0.334978 | + | 0.526106i | ||||
\(612\) | 0.477153 | 0.0192878 | ||||||||
\(613\) | 4.78247 | − | 0.657336i | 0.193162 | − | 0.0265496i | −0.0389369 | − | 0.999242i | \(-0.512397\pi\) |
0.232099 | + | 0.972692i | \(0.425441\pi\) | |||||||
\(614\) | −34.9399 | − | 21.2475i | −1.41006 | − | 0.857477i | ||||
\(615\) | −22.4082 | + | 6.27849i | −0.903586 | + | 0.253173i | ||||
\(616\) | −0.114020 | + | 0.320822i | −0.00459401 | + | 0.0129263i | ||||
\(617\) | 0.0886422 | + | 0.0385027i | 0.00356860 | + | 0.00155006i | 0.400185 | − | 0.916435i | \(-0.368946\pi\) |
−0.396616 | + | 0.917985i | \(0.629816\pi\) | |||||||
\(618\) | 1.12904 | + | 16.5061i | 0.0454168 | + | 0.663971i | ||||
\(619\) | 37.5855 | − | 16.3257i | 1.51069 | − | 0.656184i | 0.529337 | − | 0.848411i | \(-0.322441\pi\) |
0.981350 | + | 0.192227i | \(0.0615710\pi\) | |||||||
\(620\) | −5.67096 | − | 10.9445i | −0.227751 | − | 0.439540i | ||||
\(621\) | 5.36329 | − | 25.8096i | 0.215221 | − | 1.03570i | ||||
\(622\) | −8.96268 | − | 9.59669i | −0.359371 | − | 0.384792i | ||||
\(623\) | 8.08514 | + | 2.26535i | 0.323924 | + | 0.0907593i | ||||
\(624\) | 9.51157 | − | 13.4748i | 0.380767 | − | 0.539425i | ||||
\(625\) | −1.95419 | − | 9.40408i | −0.0781676 | − | 0.376163i | ||||
\(626\) | −18.1877 | + | 14.7968i | −0.726928 | + | 0.591400i | ||||
\(627\) | −4.19634 | + | 2.55185i | −0.167586 | + | 0.101911i | ||||
\(628\) | 19.6704 | − | 21.0618i | 0.784933 | − | 0.840458i | ||||
\(629\) | 3.76602 | + | 5.33524i | 0.150161 | + | 0.212730i | ||||
\(630\) | −0.324225 | − | 0.912282i | −0.0129174 | − | 0.0363462i | ||||
\(631\) | 1.42853 | − | 20.8843i | 0.0568688 | − | 0.831392i | −0.878505 | − | 0.477732i | \(-0.841459\pi\) |
0.935374 | − | 0.353660i | \(-0.115063\pi\) | |||||||
\(632\) | 2.23359 | − | 4.31063i | 0.0888474 | − | 0.171468i | ||||
\(633\) | 15.9361 | + | 12.9649i | 0.633402 | + | 0.515310i | ||||
\(634\) | −23.5813 | − | 3.24117i | −0.936532 | − | 0.128723i | ||||
\(635\) | −18.9463 | − | 2.60411i | −0.751862 | − | 0.103341i | ||||
\(636\) | −27.2814 | − | 22.1951i | −1.08178 | − | 0.880091i | ||||
\(637\) | 6.02336 | − | 11.6246i | 0.238654 | − | 0.460582i | ||||
\(638\) | 0.193941 | − | 2.83532i | 0.00767821 | − | 0.112251i | ||||
\(639\) | −1.05830 | − | 2.97776i | −0.0418656 | − | 0.117799i | ||||
\(640\) | −3.77804 | − | 5.35226i | −0.149340 | − | 0.211567i | ||||
\(641\) | −10.8633 | + | 11.6318i | −0.429076 | + | 0.459428i | −0.908334 | − | 0.418246i | \(-0.862645\pi\) |
0.479258 | + | 0.877674i | \(0.340906\pi\) | |||||||
\(642\) | −52.7526 | + | 32.0796i | −2.08198 | + | 1.26608i | ||||
\(643\) | −23.8795 | + | 19.4274i | −0.941716 | + | 0.766143i | −0.972384 | − | 0.233387i | \(-0.925019\pi\) |
0.0306679 | + | 0.999530i | \(0.490237\pi\) | |||||||
\(644\) | −1.88179 | − | 9.05567i | −0.0741529 | − | 0.356843i | ||||
\(645\) | 12.6521 | − | 17.9239i | 0.498175 | − | 0.705753i | ||||
\(646\) | −8.64510 | − | 2.42224i | −0.340137 | − | 0.0953019i | ||||
\(647\) | −26.1238 | − | 27.9718i | −1.02703 | − | 1.09968i | −0.994967 | − | 0.100199i | \(-0.968052\pi\) |
−0.0320661 | − | 0.999486i | \(-0.510209\pi\) | |||||||
\(648\) | 0.806809 | − | 3.88258i | 0.0316945 | − | 0.152522i | ||||
\(649\) | 1.84805 | + | 3.56658i | 0.0725424 | + | 0.140001i | ||||
\(650\) | −8.59410 | + | 3.73295i | −0.337088 | + | 0.146418i | ||||
\(651\) | 0.511321 | + | 7.47524i | 0.0200402 | + | 0.292978i | ||||
\(652\) | 12.6574 | + | 5.49788i | 0.495701 | + | 0.215313i | ||||
\(653\) | −0.129747 | + | 0.365073i | −0.00507739 | + | 0.0142864i | −0.944773 | − | 0.327727i | \(-0.893717\pi\) |
0.939695 | + | 0.342013i | \(0.111109\pi\) | |||||||
\(654\) | 8.60374 | − | 2.41065i | 0.336433 | − | 0.0942640i | ||||
\(655\) | 7.28422 | + | 4.42963i | 0.284618 | + | 0.173080i | ||||
\(656\) | 36.7465 | − | 5.05069i | 1.43471 | − | 0.197196i | ||||
\(657\) | −0.629199 | −0.0245474 | ||||||||
\(658\) | 14.1599 | + | 2.63923i | 0.552010 | + | 0.102888i | ||||
\(659\) | −18.5367 | −0.722088 | −0.361044 | − | 0.932549i | \(-0.617580\pi\) | ||||
−0.361044 | + | 0.932549i | \(0.617580\pi\) | |||||||
\(660\) | 3.09325 | − | 0.425158i | 0.120405 | − | 0.0165492i | ||||
\(661\) | 29.2385 | + | 17.7804i | 1.13725 | + | 0.691576i | 0.956436 | − | 0.291942i | \(-0.0943015\pi\) |
0.180812 | + | 0.983518i | \(0.442128\pi\) | |||||||
\(662\) | 54.5313 | − | 15.2790i | 2.11942 | − | 0.593834i | ||||
\(663\) | 1.24357 | − | 3.49907i | 0.0482962 | − | 0.135893i | ||||
\(664\) | 7.50635 | + | 3.26047i | 0.291303 | + | 0.126531i | ||||
\(665\) | 0.579673 | + | 8.47452i | 0.0224788 | + | 0.328628i | ||||
\(666\) | 3.16642 | − | 1.37537i | 0.122696 | − | 0.0532946i | ||||
\(667\) | −5.13693 | − | 9.91382i | −0.198903 | − | 0.383865i | ||||
\(668\) | 6.29527 | − | 30.2945i | 0.243571 | − | 1.17213i | ||||
\(669\) | −18.1469 | − | 19.4306i | −0.701600 | − | 0.751230i | ||||
\(670\) | 19.6137 | + | 5.49550i | 0.757743 | + | 0.212310i | ||||
\(671\) | 2.63060 | − | 3.72671i | 0.101553 | − | 0.143868i | ||||
\(672\) | −2.77846 | − | 13.3707i | −0.107181 | − | 0.515784i | ||||
\(673\) | −2.20257 | + | 1.79193i | −0.0849030 | + | 0.0690737i | −0.672594 | − | 0.740012i | \(-0.734820\pi\) |
0.587691 | + | 0.809086i | \(0.300037\pi\) | |||||||
\(674\) | −29.7535 | + | 18.0935i | −1.14606 | + | 0.696935i | ||||
\(675\) | −7.94066 | + | 8.50237i | −0.305636 | + | 0.327256i | ||||
\(676\) | 8.00360 | + | 11.3385i | 0.307831 | + | 0.436097i | ||||
\(677\) | −14.9138 | − | 41.9634i | −0.573184 | − | 1.61278i | −0.774021 | − | 0.633160i | \(-0.781757\pi\) |
0.200837 | − | 0.979625i | \(-0.435634\pi\) | |||||||
\(678\) | −2.94160 | + | 43.0046i | −0.112971 | + | 1.65158i | ||||
\(679\) | −1.33297 | + | 2.57252i | −0.0511549 | + | 0.0987244i | ||||
\(680\) | −0.640357 | − | 0.520969i | −0.0245566 | − | 0.0199782i | ||||
\(681\) | 33.7630 | + | 4.64061i | 1.29380 | + | 0.177829i | ||||
\(682\) | 5.14127 | + | 0.706651i | 0.196869 | + | 0.0270591i | ||||
\(683\) | 11.6236 | + | 9.45652i | 0.444766 | + | 0.361844i | 0.826981 | − | 0.562230i | \(-0.190056\pi\) |
−0.382216 | + | 0.924073i | \(0.624839\pi\) | |||||||
\(684\) | −1.01812 | + | 1.96489i | −0.0389288 | + | 0.0751293i | ||||
\(685\) | −2.33499 | + | 34.1363i | −0.0892152 | + | 1.30428i | ||||
\(686\) | −9.02136 | − | 25.3837i | −0.344437 | − | 0.969153i | ||||
\(687\) | −4.61245 | − | 6.53436i | −0.175976 | − | 0.249301i | ||||
\(688\) | −23.8685 | + | 25.5569i | −0.909978 | + | 0.974348i | ||||
\(689\) | 23.4197 | − | 14.2419i | 0.892221 | − | 0.542572i | ||||
\(690\) | 20.4080 | − | 16.6031i | 0.776919 | − | 0.632071i | ||||
\(691\) | −2.20269 | − | 10.5999i | −0.0837943 | − | 0.403241i | −0.999997 | − | 0.00252487i | \(-0.999196\pi\) |
0.916202 | − | 0.400716i | \(-0.131238\pi\) | |||||||
\(692\) | 13.4080 | − | 18.9948i | 0.509695 | − | 0.722074i | ||||
\(693\) | 0.183017 | + | 0.0512789i | 0.00695224 | + | 0.00194793i | ||||
\(694\) | −18.4978 | − | 19.8063i | −0.702167 | − | 0.751838i | ||||
\(695\) | 0.844421 | − | 4.06358i | 0.0320307 | − | 0.154140i | ||||
\(696\) | −0.850856 | − | 1.64208i | −0.0322516 | − | 0.0622428i | ||||
\(697\) | 7.65973 | − | 3.32709i | 0.290133 | − | 0.126023i | ||||
\(698\) | 1.23619 | + | 18.0725i | 0.0467905 | + | 0.684053i | ||||
\(699\) | −8.14099 | − | 3.53613i | −0.307920 | − | 0.133749i | ||||
\(700\) | −1.36694 | + | 3.84619i | −0.0516654 | + | 0.145372i | ||||
\(701\) | −41.6951 | + | 11.6824i | −1.57480 | + | 0.441239i | −0.942698 | − | 0.333646i | \(-0.891721\pi\) |
−0.632103 | + | 0.774885i | \(0.717808\pi\) | |||||||
\(702\) | −20.1033 | − | 12.2251i | −0.758751 | − | 0.461407i | ||||
\(703\) | −30.0059 | + | 4.12421i | −1.13169 | + | 0.155548i | ||||
\(704\) | −3.76215 | −0.141791 | ||||||||
\(705\) | 5.53225 | + | 18.2854i | 0.208357 | + | 0.688667i | ||||
\(706\) | −1.10968 | −0.0417634 | ||||||||
\(707\) | −17.7403 | + | 2.43835i | −0.667193 | + | 0.0917035i | ||||
\(708\) | −15.4428 | − | 9.39097i | −0.580376 | − | 0.352934i | ||||
\(709\) | −26.9833 | + | 7.56037i | −1.01338 | + | 0.283936i | −0.736114 | − | 0.676858i | \(-0.763341\pi\) |
−0.277265 | + | 0.960793i | \(0.589428\pi\) | |||||||
\(710\) | 12.6593 | − | 35.6200i | 0.475097 | − | 1.33679i | ||||
\(711\) | −2.48578 | − | 1.07973i | −0.0932240 | − | 0.0404929i | ||||
\(712\) | −0.258267 | − | 3.77573i | −0.00967896 | − | 0.141501i | ||||
\(713\) | 18.7013 | − | 8.12312i | 0.700369 | − | 0.304213i | ||||
\(714\) | −1.59618 | − | 3.08049i | −0.0597355 | − | 0.115284i | ||||
\(715\) | −0.495102 | + | 2.38256i | −0.0185158 | + | 0.0891028i | ||||
\(716\) | −9.69552 | − | 10.3814i | −0.362339 | − | 0.387970i | ||||
\(717\) | −10.1013 | − | 2.83026i | −0.377241 | − | 0.105698i | ||||
\(718\) | 3.65822 | − | 5.18252i | 0.136524 | − | 0.193410i | ||||
\(719\) | −4.94465 | − | 23.7950i | −0.184404 | − | 0.887402i | −0.964976 | − | 0.262337i | \(-0.915507\pi\) |
0.780572 | − | 0.625066i | \(-0.214928\pi\) | |||||||
\(720\) | −1.58769 | + | 1.29168i | −0.0591699 | + | 0.0481382i | ||||
\(721\) | −4.79956 | + | 2.91868i | −0.178745 | + | 0.108697i | ||||
\(722\) | 3.31674 | − | 3.55136i | 0.123436 | − | 0.132168i | ||||
\(723\) | −22.9624 | − | 32.5303i | −0.853980 | − | 1.20981i | ||||
\(724\) | 4.72419 | + | 13.2926i | 0.175573 | + | 0.494015i | ||||
\(725\) | −0.336278 | + | 4.91621i | −0.0124890 | + | 0.182583i | ||||
\(726\) | 15.5725 | − | 30.0536i | 0.577951 | − | 1.11540i | ||||
\(727\) | −11.3427 | − | 9.22794i | −0.420676 | − | 0.342245i | 0.397107 | − | 0.917772i | \(-0.370014\pi\) |
−0.817783 | + | 0.575527i | \(0.804797\pi\) | |||||||
\(728\) | 1.18286 | + | 0.162580i | 0.0438397 | + | 0.00602563i | ||||
\(729\) | −28.7199 | − | 3.94746i | −1.06370 | − | 0.146202i | ||||
\(730\) | −5.83837 | − | 4.74987i | −0.216088 | − | 0.175800i | ||||
\(731\) | −3.62220 | + | 6.99052i | −0.133972 | + | 0.258554i | ||||
\(732\) | −1.40066 | + | 20.4770i | −0.0517700 | + | 0.756851i | ||||
\(733\) | −6.56324 | − | 18.4672i | −0.242419 | − | 0.682101i | −0.999583 | − | 0.0288766i | \(-0.990807\pi\) |
0.757164 | − | 0.653225i | \(-0.226584\pi\) | |||||||
\(734\) | 13.5161 | + | 19.1480i | 0.498890 | + | 0.706766i | ||||
\(735\) | 11.0735 | − | 11.8568i | 0.408452 | − | 0.437345i | ||||
\(736\) | −31.7517 | + | 19.3087i | −1.17038 | + | 0.711727i | ||||
\(737\) | −3.10181 | + | 2.52351i | −0.114257 | + | 0.0929546i | ||||
\(738\) | −0.898186 | − | 4.32231i | −0.0330627 | − | 0.159106i | ||||
\(739\) | 1.73702 | − | 2.46079i | 0.0638971 | − | 0.0905216i | −0.783767 | − | 0.621055i | \(-0.786704\pi\) |
0.847664 | + | 0.530534i | \(0.178009\pi\) | |||||||
\(740\) | 18.5413 | + | 5.19502i | 0.681590 | + | 0.190973i | ||||
\(741\) | 11.7555 | + | 12.5871i | 0.431849 | + | 0.462397i | ||||
\(742\) | 5.21030 | − | 25.0734i | 0.191276 | − | 0.920472i | ||||
\(743\) | 11.1496 | + | 21.5177i | 0.409039 | + | 0.789409i | 0.999849 | − | 0.0174021i | \(-0.00553955\pi\) |
−0.590810 | + | 0.806811i | \(0.701192\pi\) | |||||||
\(744\) | 3.09759 | − | 1.34547i | 0.113563 | − | 0.0493275i | ||||
\(745\) | −1.41368 | − | 20.6673i | −0.0517933 | − | 0.757192i | ||||
\(746\) | −7.37085 | − | 3.20161i | −0.269866 | − | 0.117219i | ||||
\(747\) | 1.52988 | − | 4.30467i | 0.0559754 | − | 0.157500i | ||||
\(748\) | −1.07893 | + | 0.302303i | −0.0394497 | + | 0.0110533i | ||||
\(749\) | −17.9109 | − | 10.8919i | −0.654450 | − | 0.397980i | ||||
\(750\) | −38.2227 | + | 5.25359i | −1.39570 | + | 0.191834i | ||||
\(751\) | −11.3401 | −0.413807 | −0.206903 | − | 0.978361i | \(-0.566339\pi\) | ||||
−0.206903 | + | 0.978361i | \(0.566339\pi\) | |||||||
\(752\) | −4.76715 | − | 30.0743i | −0.173840 | − | 1.09670i | ||||
\(753\) | 44.0385 | 1.60485 | ||||||||
\(754\) | −9.87317 | + | 1.35704i | −0.359560 | + | 0.0494203i | ||||
\(755\) | 11.5151 | + | 7.00251i | 0.419078 | + | 0.254847i | ||||
\(756\) | −9.86994 | + | 2.76543i | −0.358966 | + | 0.100578i | ||||
\(757\) | 1.32927 | − | 3.74019i | 0.0483130 | − | 0.135940i | −0.915650 | − | 0.401977i | \(-0.868323\pi\) |
0.963963 | + | 0.266037i | \(0.0857145\pi\) | |||||||
\(758\) | 0.269110 | + | 0.116891i | 0.00977452 | + | 0.00424567i | ||||
\(759\) | 0.352451 | + | 5.15266i | 0.0127932 | + | 0.187030i | ||||
\(760\) | 3.51167 | − | 1.52533i | 0.127382 | − | 0.0553297i | ||||
\(761\) | 12.2981 | + | 23.7343i | 0.445807 | + | 0.860368i | 0.999616 | + | 0.0277239i | \(0.00882593\pi\) |
−0.553809 | + | 0.832644i | \(0.686826\pi\) | |||||||
\(762\) | −7.37083 | + | 35.4704i | −0.267017 | + | 1.28496i | ||||
\(763\) | 2.07066 | + | 2.21713i | 0.0749628 | + | 0.0802656i | ||||
\(764\) | −21.8969 | − | 6.13522i | −0.792202 | − | 0.221964i | ||||
\(765\) | −0.265746 | + | 0.376476i | −0.00960805 | + | 0.0136115i | ||||
\(766\) | −1.85039 | − | 8.90455i | −0.0668572 | − | 0.321734i | ||||
\(767\) | 10.9270 | − | 8.88975i | 0.394550 | − | 0.320990i | ||||
\(768\) | −27.1589 | + | 16.5157i | −0.980011 | + | 0.595958i | ||||
\(769\) | −9.99364 | + | 10.7006i | −0.360380 | + | 0.385873i | −0.885099 | − | 0.465403i | \(-0.845910\pi\) |
0.524719 | + | 0.851275i | \(0.324170\pi\) | |||||||
\(770\) | 1.31111 | + | 1.85743i | 0.0472493 | + | 0.0669370i | ||||
\(771\) | −9.43930 | − | 26.5596i | −0.339948 | − | 0.956522i | ||||
\(772\) | −0.792725 | + | 11.5892i | −0.0285308 | + | 0.417105i | ||||
\(773\) | −16.8752 | + | 32.5677i | −0.606960 | + | 1.17138i | 0.363834 | + | 0.931464i | \(0.381468\pi\) |
−0.970794 | + | 0.239916i | \(0.922880\pi\) | |||||||
\(774\) | 3.22853 | + | 2.62660i | 0.116047 | + | 0.0944113i | ||||
\(775\) | −8.91452 | − | 1.22527i | −0.320219 | − | 0.0440131i | ||||
\(776\) | 1.29376 | + | 0.177824i | 0.0464434 | + | 0.00638349i | ||||
\(777\) | −9.07929 | − | 7.38655i | −0.325718 | − | 0.264991i | ||||
\(778\) | −0.390959 | + | 0.754517i | −0.0140166 | + | 0.0270508i | ||||
\(779\) | −2.64315 | + | 38.6414i | −0.0947005 | + | 1.38447i | ||||
\(780\) | −3.66668 | − | 10.3170i | −0.131288 | − | 0.369409i | ||||
\(781\) | 4.27959 | + | 6.06280i | 0.153136 | + | 0.216944i | ||||
\(782\) | −6.44411 | + | 6.89995i | −0.230441 | + | 0.246742i | ||||
\(783\) | −10.5726 | + | 6.42932i | −0.377833 | + | 0.229765i | ||||
\(784\) | −20.0590 | + | 16.3192i | −0.716394 | + | 0.582829i | ||||
\(785\) | 5.66265 | + | 27.2502i | 0.202109 | + | 0.972600i | ||||
\(786\) | 9.31330 | − | 13.1939i | 0.332194 | − | 0.470612i | ||||
\(787\) | −12.2968 | − | 3.44540i | −0.438333 | − | 0.122815i | 0.0435488 | − | 0.999051i | \(-0.486134\pi\) |
−0.481882 | + | 0.876236i | \(0.660047\pi\) | |||||||
\(788\) | −10.6225 | − | 11.3739i | −0.378410 | − | 0.405178i | ||||
\(789\) | 0.201867 | − | 0.971436i | 0.00718665 | − | 0.0345841i | ||||
\(790\) | −14.9147 | − | 28.7841i | −0.530642 | − | 1.02409i | ||||
\(791\) | −13.4237 | + | 5.83073i | −0.477291 | + | 0.207317i | ||||
\(792\) | −0.00584619 | − | 0.0854682i | −0.000207735 | − | 0.00303698i | ||||
\(793\) | −14.6722 | − | 6.37302i | −0.521023 | − | 0.226312i | ||||
\(794\) | −9.86323 | + | 27.7525i | −0.350033 | + | 0.984899i | ||||
\(795\) | 32.7061 | − | 9.16382i | 1.15997 | − | 0.325007i | ||||
\(796\) | −22.3477 | − | 13.5899i | −0.792092 | − | 0.481682i | ||||
\(797\) | −19.2157 | + | 2.64113i | −0.680654 | + | 0.0935537i | −0.468207 | − | 0.883619i | \(-0.655100\pi\) |
−0.212447 | + | 0.977173i | \(0.568143\pi\) | |||||||
\(798\) | 16.0911 | 0.569618 | ||||||||
\(799\) | −2.86033 | − | 6.23045i | −0.101191 | − | 0.220417i | ||||
\(800\) | 16.4005 | 0.579844 | ||||||||
\(801\) | −2.09295 | + | 0.287670i | −0.0739508 | + | 0.0101643i | ||||
\(802\) | −3.50275 | − | 2.13007i | −0.123686 | − | 0.0752153i | ||||
\(803\) | 1.42274 | − | 0.398633i | 0.0502073 | − | 0.0140674i | ||||
\(804\) | 6.02508 | − | 16.9530i | 0.212488 | − | 0.597885i | ||||
\(805\) | 8.19300 | + | 3.55872i | 0.288765 | + | 0.125429i | ||||
\(806\) | −1.24192 | − | 18.1562i | −0.0437447 | − | 0.639525i | ||||
\(807\) | 3.09140 | − | 1.34279i | 0.108822 | − | 0.0472683i | ||||
\(808\) | 3.71330 | + | 7.16635i | 0.130634 | + | 0.252111i | ||||
\(809\) | −2.28183 | + | 10.9808i | −0.0802250 | + | 0.386064i | −0.999979 | − | 0.00643076i | \(-0.997953\pi\) |
0.919754 | + | 0.392494i | \(0.128388\pi\) | |||||||
\(810\) | −18.0738 | − | 19.3523i | −0.635048 | − | 0.679971i | ||||
\(811\) | 47.8087 | + | 13.3954i | 1.67879 | + | 0.470375i | 0.971596 | − | 0.236644i | \(-0.0760475\pi\) |
0.707194 | + | 0.707019i | \(0.249961\pi\) | |||||||
\(812\) | −2.50371 | + | 3.54695i | −0.0878631 | + | 0.124474i | ||||
\(813\) | −5.48158 | − | 26.3788i | −0.192247 | − | 0.925145i | ||||
\(814\) | −6.28851 | + | 5.11608i | −0.220412 | + | 0.179318i | ||||
\(815\) | −11.3873 | + | 6.92474i | −0.398878 | + | 0.242563i | ||||
\(816\) | −5.00620 | + | 5.36033i | −0.175252 | + | 0.187649i | ||||
\(817\) | −21.0577 | − | 29.8319i | −0.736715 | − | 1.04369i | ||||
\(818\) | 20.2666 | + | 57.0249i | 0.708607 | + | 1.99383i | ||||
\(819\) | 0.0454843 | − | 0.664956i | 0.00158935 | − | 0.0232355i | ||||
\(820\) | 11.3283 | − | 21.8627i | 0.395602 | − | 0.763478i | ||||
\(821\) | 37.5989 | + | 30.5890i | 1.31221 | + | 1.06756i | 0.992780 | + | 0.119953i | \(0.0382744\pi\) |
0.319431 | + | 0.947610i | \(0.396508\pi\) | |||||||
\(822\) | 64.2129 | + | 8.82587i | 2.23968 | + | 0.307837i | ||||
\(823\) | 23.3542 | + | 3.20996i | 0.814075 | + | 0.111892i | 0.531180 | − | 0.847259i | \(-0.321749\pi\) |
0.282895 | + | 0.959151i | \(0.408705\pi\) | |||||||
\(824\) | 1.96402 | + | 1.59785i | 0.0684200 | + | 0.0556638i | ||||
\(825\) | 1.04863 | − | 2.02377i | 0.0365087 | − | 0.0704586i | ||||
\(826\) | 0.898122 | − | 13.1301i | 0.0312497 | − | 0.456854i | ||||
\(827\) | −14.9274 | − | 42.0016i | −0.519075 | − | 1.46054i | −0.854990 | − | 0.518645i | \(-0.826437\pi\) |
0.335915 | − | 0.941892i | \(-0.390955\pi\) | |||||||
\(828\) | 1.34202 | + | 1.90122i | 0.0466386 | + | 0.0660718i | ||||
\(829\) | −22.0175 | + | 23.5750i | −0.764700 | + | 0.818794i | −0.987755 | − | 0.156012i | \(-0.950136\pi\) |
0.223055 | + | 0.974806i | \(0.428397\pi\) | |||||||
\(830\) | 46.6921 | − | 28.3941i | 1.62070 | − | 0.985572i | ||||
\(831\) | −7.17898 | + | 5.84053i | −0.249036 | + | 0.202606i | ||||
\(832\) | 2.68418 | + | 12.9170i | 0.0930571 | + | 0.447815i | ||||
\(833\) | −3.35745 | + | 4.75642i | −0.116329 | + | 0.164800i | ||||
\(834\) | −7.57066 | − | 2.12120i | −0.262151 | − | 0.0734512i | ||||
\(835\) | 20.3964 | + | 21.8392i | 0.705847 | + | 0.755777i | ||||
\(836\) | 1.05730 | − | 5.08801i | 0.0365675 | − | 0.175973i | ||||
\(837\) | −10.3955 | − | 20.0625i | −0.359322 | − | 0.693461i | ||||
\(838\) | −25.4546 | + | 11.0565i | −0.879315 | + | 0.381940i | ||||
\(839\) | −1.70114 | − | 24.8698i | −0.0587299 | − | 0.858601i | −0.929945 | − | 0.367699i | \(-0.880146\pi\) |
0.871215 | − | 0.490902i | \(-0.163333\pi\) | |||||||
\(840\) | 1.35705 | + | 0.589450i | 0.0468226 | + | 0.0203379i | ||||
\(841\) | 7.95633 | − | 22.3870i | 0.274356 | − | 0.771964i | ||||
\(842\) | −5.33628 | + | 1.49515i | −0.183900 | + | 0.0515264i | ||||
\(843\) | −44.0310 | − | 26.7758i | −1.51651 | − | 0.922208i | ||||
\(844\) | −21.5350 | + | 2.95992i | −0.741266 | + | 0.101885i | ||||
\(845\) | −13.4037 | −0.461100 | ||||||||
\(846\) | −3.53235 | + | 0.810327i | −0.121445 | + | 0.0278596i | ||||
\(847\) | 11.4925 | 0.394886 | ||||||||
\(848\) | −53.6336 | + | 7.37177i | −1.84179 | + | 0.253148i | ||||
\(849\) | 40.0790 | + | 24.3726i | 1.37551 | + | 0.836464i | ||||
\(850\) | 4.01213 | − | 1.12415i | 0.137615 | − | 0.0385579i | ||||
\(851\) | −10.6661 | + | 30.0114i | −0.365628 | + | 1.02878i | ||||
\(852\) | −30.6264 | − | 13.3029i | −1.04924 | − | 0.455751i | ||||
\(853\) | −1.26102 | − | 18.4355i | −0.0431767 | − | 0.631220i | −0.968020 | − | 0.250872i | \(-0.919283\pi\) |
0.924843 | − | 0.380348i | \(-0.124196\pi\) | |||||||
\(854\) | −13.7080 | + | 5.95424i | −0.469079 | + | 0.203750i | ||||
\(855\) | −0.983270 | − | 1.89763i | −0.0336271 | − | 0.0648974i | ||||
\(856\) | −1.92235 | + | 9.25086i | −0.0657046 | + | 0.316188i | ||||
\(857\) | −13.3469 | − | 14.2911i | −0.455923 | − | 0.488174i | 0.460909 | − | 0.887447i | \(-0.347523\pi\) |
−0.916832 | + | 0.399273i | \(0.869263\pi\) | |||||||
\(858\) | 4.43884 | + | 1.24371i | 0.151540 | + | 0.0424594i | ||||
\(859\) | 8.54198 | − | 12.1012i | 0.291449 | − | 0.412889i | −0.644732 | − | 0.764409i | \(-0.723031\pi\) |
0.936180 | + | 0.351520i | \(0.114335\pi\) | |||||||
\(860\) | 4.72309 | + | 22.7287i | 0.161056 | + | 0.775043i | ||||
\(861\) | −11.6104 | + | 9.44579i | −0.395683 | + | 0.321912i | ||||
\(862\) | −2.94266 | + | 1.78947i | −0.100227 | + | 0.0609497i | ||||
\(863\) | 1.84083 | − | 1.97105i | 0.0626625 | − | 0.0670952i | −0.698734 | − | 0.715381i | \(-0.746253\pi\) |
0.761397 | + | 0.648286i | \(0.224514\pi\) | |||||||
\(864\) | 23.7496 | + | 33.6456i | 0.807979 | + | 1.14465i | ||||
\(865\) | 7.51953 | + | 21.1579i | 0.255672 | + | 0.719391i | ||||
\(866\) | 2.29433 | − | 33.5419i | 0.0779646 | − | 1.13980i | ||||
\(867\) | −0.759723 | + | 1.46620i | −0.0258015 | + | 0.0497947i | ||||
\(868\) | −6.14989 | − | 5.00331i | −0.208741 | − | 0.169823i | ||||
\(869\) | 6.30488 | + | 0.866586i | 0.213878 | + | 0.0293969i | ||||
\(870\) | −12.2345 | − | 1.68159i | −0.414787 | − | 0.0570112i | ||||
\(871\) | 10.8773 | + | 8.84930i | 0.368562 | + | 0.299847i | ||||
\(872\) | 0.629081 | − | 1.21407i | 0.0213034 | − | 0.0411137i | ||||
\(873\) | 0.0497487 | − | 0.727301i | 0.00168374 | − | 0.0246154i | ||||
\(874\) | −14.6635 | − | 41.2591i | −0.496000 | − | 1.39561i | ||||
\(875\) | −7.55430 | − | 10.7020i | −0.255382 | − | 0.361794i | ||||
\(876\) | −4.53766 | + | 4.85865i | −0.153313 | + | 0.164159i | ||||
\(877\) | 9.85321 | − | 5.99187i | 0.332719 | − | 0.202331i | −0.343280 | − | 0.939233i | \(-0.611538\pi\) |
0.676000 | + | 0.736902i | \(0.263712\pi\) | |||||||
\(878\) | −5.23464 | + | 4.25869i | −0.176660 | + | 0.143724i | ||||
\(879\) | 6.54998 | + | 31.5202i | 0.220925 | + | 1.06315i | ||||
\(880\) | 2.77172 | − | 3.92663i | 0.0934347 | − | 0.132367i | ||||
\(881\) | 39.1578 | + | 10.9715i | 1.31926 | + | 0.369639i | 0.856180 | − | 0.516678i | \(-0.172832\pi\) |
0.463079 | + | 0.886317i | \(0.346745\pi\) | |||||||
\(882\) | 2.10069 | + | 2.24929i | 0.0707339 | + | 0.0757376i | ||||
\(883\) | −1.52281 | + | 7.32815i | −0.0512466 | + | 0.246612i | −0.996912 | − | 0.0785301i | \(-0.974977\pi\) |
0.945665 | + | 0.325142i | \(0.105412\pi\) | |||||||
\(884\) | 1.80771 | + | 3.48873i | 0.0607999 | + | 0.117339i | ||||
\(885\) | 16.0102 | − | 6.95422i | 0.538178 | − | 0.233764i | ||||
\(886\) | 2.97635 | + | 43.5126i | 0.0999923 | + | 1.46184i | ||||
\(887\) | −28.2414 | − | 12.2670i | −0.948252 | − | 0.411884i | −0.133082 | − | 0.991105i | \(-0.542487\pi\) |
−0.815171 | + | 0.579221i | \(0.803357\pi\) | |||||||
\(888\) | −1.76668 | + | 4.97095i | −0.0592857 | + | 0.166814i | ||||
\(889\) | −11.8443 | + | 3.31861i | −0.397244 | + | 0.111303i | ||||
\(890\) | −21.5922 | − | 13.1305i | −0.723774 | − | 0.440137i | ||||
\(891\) | 5.14983 | − | 0.707828i | 0.172526 | − | 0.0237131i | ||||
\(892\) | 28.1316 | 0.941916 | ||||||||
\(893\) | 31.7598 | + | 1.51552i | 1.06280 | + | 0.0507150i | ||||
\(894\) | −39.2423 | −1.31246 | ||||||||
\(895\) | 13.5908 | − | 1.86801i | 0.454289 | − | 0.0624406i | ||||
\(896\) | −3.60025 | − | 2.18936i | −0.120276 | − | 0.0731414i | ||||
\(897\) | 17.4397 | − | 4.88637i | 0.582293 | − | 0.163151i | ||||
\(898\) | 12.8666 | − | 36.2032i | 0.429365 | − | 1.20812i | ||||
\(899\) | −8.77851 | − | 3.81304i | −0.292780 | − | 0.127172i | ||||
\(900\) | −0.0700873 | − | 1.02464i | −0.00233624 | − | 0.0341547i | ||||
\(901\) | −11.1798 | + | 4.85608i | −0.372454 | + | 0.161780i | ||||
\(902\) | 4.76939 | + | 9.20451i | 0.158803 | + | 0.306477i | ||||
\(903\) | 2.87096 | − | 13.8158i | 0.0955397 | − | 0.459762i | ||||
\(904\) | 4.50251 | + | 4.82101i | 0.149751 | + | 0.160345i | ||||
\(905\) | −13.1190 | − | 3.67577i | −0.436090 | − | 0.122187i | ||||
\(906\) | 14.7228 | − | 20.8574i | 0.489131 | − | 0.692941i | ||||
\(907\) | 6.27846 | + | 30.2136i | 0.208473 | + | 1.00323i | 0.945063 | + | 0.326887i | \(0.106000\pi\) |
−0.736591 | + | 0.676339i | \(0.763566\pi\) | |||||||
\(908\) | −27.9726 | + | 22.7574i | −0.928304 | + | 0.755232i | ||||
\(909\) | 3.84965 | − | 2.34102i | 0.127685 | − | 0.0776469i | ||||
\(910\) | 5.44185 | − | 5.82680i | 0.180396 | − | 0.193156i | ||||
\(911\) | 29.3189 | + | 41.5354i | 0.971377 | + | 1.37613i | 0.926152 | + | 0.377151i | \(0.123096\pi\) |
0.0452258 | + | 0.998977i | \(0.485599\pi\) | |||||||
\(912\) | −11.3916 | − | 32.0528i | −0.377212 | − | 1.06137i | ||||
\(913\) | −0.732101 | + | 10.7029i | −0.0242290 | + | 0.354215i | ||||
\(914\) | 6.40234 | − | 12.3560i | 0.211771 | − | 0.408699i | ||||
\(915\) | −15.3763 | − | 12.5096i | −0.508326 | − | 0.413554i | ||||
\(916\) | 8.38420 | + | 1.15238i | 0.277022 | + | 0.0380758i | ||||
\(917\) | 5.43223 | + | 0.746642i | 0.179388 | + | 0.0246563i | ||||
\(918\) | 8.11618 | + | 6.60300i | 0.267874 | + | 0.217932i | ||||
\(919\) | −1.05078 | + | 2.02792i | −0.0346622 | + | 0.0668950i | −0.904586 | − | 0.426291i | \(-0.859820\pi\) |
0.869924 | + | 0.493186i | \(0.164168\pi\) | |||||||
\(920\) | 0.274754 | − | 4.01676i | 0.00905837 | − | 0.132429i | ||||
\(921\) | −11.6820 | − | 32.8700i | −0.384935 | − | 1.08310i | ||||
\(922\) | 40.2634 | + | 57.0402i | 1.32600 | + | 1.87852i | ||||
\(923\) | 17.7627 | − | 19.0192i | 0.584665 | − | 0.626023i | ||||
\(924\) | 1.71586 | − | 1.04343i | 0.0564475 | − | 0.0343265i | ||||
\(925\) | 10.9037 | − | 8.87084i | 0.358512 | − | 0.291672i | ||||
\(926\) | 3.68595 | + | 17.7378i | 0.121128 | + | 0.582900i | ||||
\(927\) | 0.815062 | − | 1.15468i | 0.0267701 | − | 0.0379246i | ||||
\(928\) | 16.7971 | + | 4.70633i | 0.551392 | + | 0.154493i | ||||
\(929\) | 5.40825 | + | 5.79083i | 0.177439 | + | 0.189991i | 0.813355 | − | 0.581767i | \(-0.197639\pi\) |
−0.635916 | + | 0.771758i | \(0.719378\pi\) | |||||||
\(930\) | 4.58815 | − | 22.0794i | 0.150451 | − | 0.724012i | ||||
\(931\) | −12.4227 | − | 23.9747i | −0.407137 | − | 0.785740i | ||||
\(932\) | 8.61401 | − | 3.74159i | 0.282161 | − | 0.122560i | ||||
\(933\) | −0.764422 | − | 11.1755i | −0.0250261 | − | 0.365868i | ||||
\(934\) | 16.1847 | + | 7.03000i | 0.529579 | + | 0.230029i | ||||
\(935\) | 0.362383 | − | 1.01965i | 0.0118512 | − | 0.0333460i | ||||
\(936\) | −0.289275 | + | 0.0810512i | −0.00945526 | + | 0.00264924i | ||||
\(937\) | 11.8680 | + | 7.21710i | 0.387711 | + | 0.235772i | 0.699889 | − | 0.714251i | \(-0.253233\pi\) |
−0.312178 | + | 0.950024i | \(0.601059\pi\) | |||||||
\(938\) | 12.9789 | − | 1.78390i | 0.423775 | − | 0.0582465i | ||||
\(939\) | −20.0012 | −0.652714 | ||||||||
\(940\) | −18.1355 | − | 8.92782i | −0.591516 | − | 0.291193i | ||||
\(941\) | −27.8780 | −0.908798 | −0.454399 | − | 0.890798i | \(-0.650146\pi\) | ||||
−0.454399 | + | 0.890798i | \(0.650146\pi\) | |||||||
\(942\) | 52.2326 | − | 7.17921i | 1.70183 | − | 0.233911i | ||||
\(943\) | 34.8003 | + | 21.1625i | 1.13325 | + | 0.689147i | ||||
\(944\) | −26.7904 | + | 7.50631i | −0.871952 | + | 0.244310i | ||||
\(945\) | 3.31503 | − | 9.32761i | 0.107838 | − | 0.303427i | ||||
\(946\) | −8.96441 | − | 3.89379i | −0.291458 | − | 0.126598i | ||||
\(947\) | 1.34092 | + | 19.6036i | 0.0435741 | + | 0.637030i | 0.967245 | + | 0.253844i | \(0.0816950\pi\) |
−0.923671 | + | 0.383186i | \(0.874827\pi\) | |||||||
\(948\) | −26.2645 | + | 11.4083i | −0.853033 | + | 0.370524i | ||||
\(949\) | −2.38374 | − | 4.60042i | −0.0773796 | − | 0.149336i | ||||
\(950\) | −3.93169 | + | 18.9203i | −0.127561 | + | 0.613856i | ||||
\(951\) | −13.8594 | − | 14.8398i | −0.449423 | − | 0.481214i | ||||
\(952\) | −0.511259 | − | 0.143248i | −0.0165700 | − | 0.00464270i | ||||
\(953\) | −5.71806 | + | 8.10065i | −0.185226 | + | 0.262406i | −0.898979 | − | 0.437992i | \(-0.855690\pi\) |
0.713753 | + | 0.700398i | \(0.246994\pi\) | |||||||
\(954\) | 1.31096 | + | 6.30866i | 0.0424437 | + | 0.204251i | ||||
\(955\) | 17.0360 | − | 13.8598i | 0.551271 | − | 0.448492i | ||||
\(956\) | 9.48396 | − | 5.76732i | 0.306733 | − | 0.186529i | ||||
\(957\) | 1.65474 | − | 1.77180i | 0.0534902 | − | 0.0572740i | ||||
\(958\) | 34.6987 | + | 49.1568i | 1.12106 | + | 1.58818i | ||||
\(959\) | 7.36968 | + | 20.7363i | 0.237980 | + | 0.669610i | ||||
\(960\) | −1.11564 | + | 16.3101i | −0.0360071 | + | 0.526405i | ||||
\(961\) | −6.22141 | + | 12.0068i | −0.200691 | + | 0.387315i | ||||
\(962\) | 22.0522 | + | 17.9408i | 0.710991 | + | 0.578434i | ||||
\(963\) | 5.22525 | + | 0.718195i | 0.168381 | + | 0.0231435i | ||||
\(964\) | 41.7394 | + | 5.73695i | 1.34434 | + | 0.184775i | ||||
\(965\) | −8.70245 | − | 7.07997i | −0.280142 | − | 0.227912i | ||||
\(966\) | 7.78484 | − | 15.0241i | 0.250473 | − | 0.483391i | ||||
\(967\) | −2.56634 | + | 37.5185i | −0.0825279 | + | 1.20652i | 0.753357 | + | 0.657611i | \(0.228433\pi\) |
−0.835885 | + | 0.548904i | \(0.815045\pi\) | |||||||
\(968\) | −1.73468 | − | 4.88091i | −0.0557546 | − | 0.156878i | ||||
\(969\) | −4.41666 | − | 6.25698i | −0.141884 | − | 0.201003i | ||||
\(970\) | 5.95206 | − | 6.37310i | 0.191109 | − | 0.204628i | ||||
\(971\) | −29.1348 | + | 17.7172i | −0.934979 | + | 0.568574i | −0.902402 | − | 0.430896i | \(-0.858198\pi\) |
−0.0325776 | + | 0.999469i | \(0.510372\pi\) | |||||||
\(972\) | 3.83420 | − | 3.11935i | 0.122982 | − | 0.100053i | ||||
\(973\) | −0.543112 | − | 2.61360i | −0.0174114 | − | 0.0837881i | ||||
\(974\) | −1.32389 | + | 1.87553i | −0.0424203 | + | 0.0600959i | ||||
\(975\) | −7.69658 | − | 2.15648i | −0.246488 | − | 0.0690626i | ||||
\(976\) | 21.5651 | + | 23.0906i | 0.690281 | + | 0.739111i | ||||
\(977\) | 8.43403 | − | 40.5868i | 0.269828 | − | 1.29849i | −0.597950 | − | 0.801534i | \(-0.704018\pi\) |
0.867778 | − | 0.496952i | \(-0.165548\pi\) | |||||||
\(978\) | 11.6151 | + | 22.4162i | 0.371411 | + | 0.716790i | ||||
\(979\) | 4.55031 | − | 1.97648i | 0.145428 | − | 0.0631685i | ||||
\(980\) | 1.17147 | + | 17.1263i | 0.0374212 | + | 0.547079i | ||||
\(981\) | −0.700110 | − | 0.304101i | −0.0223528 | − | 0.00970918i | ||||
\(982\) | −26.0255 | + | 73.2289i | −0.830508 | + | 2.33683i | ||||
\(983\) | 54.7843 | − | 15.3498i | 1.74735 | − | 0.489584i | 0.760241 | − | 0.649642i | \(-0.225081\pi\) |
0.987108 | + | 0.160058i | \(0.0511680\pi\) | |||||||
\(984\) | 5.76415 | + | 3.50526i | 0.183754 | + | 0.111744i | ||||
\(985\) | 14.8901 | − | 2.04660i | 0.474438 | − | 0.0652101i | ||||
\(986\) | 4.43175 | 0.141136 | ||||||||
\(987\) | 7.94912 | + | 9.36947i | 0.253023 | + | 0.298233i | ||||
\(988\) | −18.2235 | −0.579768 | ||||||||
\(989\) | −38.0414 | + | 5.22867i | −1.20965 | + | 0.166262i | ||||
\(990\) | −0.488767 | − | 0.297226i | −0.0155340 | − | 0.00944645i | ||||
\(991\) | 46.5711 | − | 13.0486i | 1.47938 | − | 0.414502i | 0.566955 | − | 0.823749i | \(-0.308121\pi\) |
0.912424 | + | 0.409246i | \(0.134208\pi\) | |||||||
\(992\) | −10.6672 | + | 30.0147i | −0.338685 | + | 0.952969i | ||||
\(993\) | 44.3102 | + | 19.2466i | 1.40614 | + | 0.610774i | ||||
\(994\) | −1.65923 | − | 24.2571i | −0.0526276 | − | 0.769389i | ||||
\(995\) | 23.1688 | − | 10.0636i | 0.734500 | − | 0.319039i | ||||
\(996\) | −22.2073 | − | 42.8581i | −0.703664 | − | 1.35801i | ||||
\(997\) | 0.527410 | − | 2.53804i | 0.0167032 | − | 0.0803804i | −0.969907 | − | 0.243475i | \(-0.921713\pi\) |
0.986610 | + | 0.163094i | \(0.0521475\pi\) | |||||||
\(998\) | −27.7826 | − | 29.7478i | −0.879441 | − | 0.941652i | ||||
\(999\) | 33.9883 | + | 9.52308i | 1.07534 | + | 0.301297i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 799.2.k.b.494.6 | ✓ | 704 | |
47.2 | even | 23 | inner | 799.2.k.b.613.6 | yes | 704 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
799.2.k.b.494.6 | ✓ | 704 | 1.1 | even | 1 | trivial | |
799.2.k.b.613.6 | yes | 704 | 47.2 | even | 23 | inner |